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Nonlinear Analysis and Convex Analysis by fixed point theory and its Application to Equilibrium problems and Nonlinear Optimization

Research Project

Project/Area Number 22540120
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Yamanashi

Principal Investigator

ATSUSHIBA Sachiko  山梨大学, 教育学研究科(研究院), 准教授 (20327761)

Co-Investigator(Renkei-kenkyūsha) HIRANO Norimichi  横浜国立大学, 環境情報研究院, 教授 (80134815)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords不動点 / 凸解析 / 最適化問題 / 均衡問題 / 非拡大写像 / 非拡大半群 / イタレーション / 収束 / attractive point / ハイブリッド写像
Research Abstract

In this study, we obtain many new and important theorems for nonlinear problems in nonlinear analysis and convex analysis by using fixed point theory. For example, we studied common attractive points and proved nonlinear ergodic theorems for nonexpansive semigroups without convexity. And, we proved strong convergence to common attractive points of nonexpansive semigroups. Further, we proved strong convergence theorems for uniformly asymptotically regular nonexpansive semigroup in Banach spaces by Halpern type and Browder type iterations.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (85 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (34 results) (of which Peer Reviewed: 15 results) Presentation (43 results) (of which Invited: 4 results) Remarks (8 results)

  • [Journal Article] Strong convergence theorems for uniformly asymptotically regular nonexpansive semigroups in Banach spaces2014

    • Author(s)
      Sachiko Atsushiba and Wataru Takahashi
    • Journal Title

      Banach and Function Spaces

      Volume: 4 Pages: 275-288

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong convergence theorems for nonexpansive semigroups by Browder's type iterations2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Nonlinear Analysis and Optimization

      Volume: 3(to appear, 掲載決定)

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong convergence to common attractive points of uniformly asymptotically regular nonexpansive semigroups2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Journal of Nonlinear and Convex Analysis

      Volume: (to appear, 掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong Convergence Theorems for Uniformly Asymptotically Regular Nonexpansive Semigroups in Banach spaces2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Banach and Function Spaces

      Volume: 4 Pages: 275-288

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong Convergence to Common Attractive Points of Uniformly Asymptotically Regular Nonexpansive Semigroups2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Journal of Nonlinear and Convex Analysis

      Volume: 15

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong convergence theorems for nonexpansive semigroups by Halpern's type iterations2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Volume: 8

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong convergence theorems for families of nonexpansive mappings by Browder's type iterations2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      「不確実さと曖昧さの数理」, RIMS Kokyuroku.

      Volume: -

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Strong Convergence to Common Attractive points of Asymptotically Regular Nonexpansive Semigroups2014

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear Analysis and Convex Analysis)」, RIMS Kokyuroku.

      Volume: -

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Nonlinear ergodic theorems without convexity for nonexpansive semigroups in Hilbert spaces2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      J. Nonlinear Convex Anal.

      Volume: 14 Pages: 209-219

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Banach spaces2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear Analysis and Convex Analysis), RIMS Kokyuroku

      Volume: 1841 Pages: 35-41

    • Related Report
      2013 Final Research Report
  • [Journal Article] Weak and strong convergence theorems for uniformly asymptotically regular nonexpansive semigroups2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuroku

      Volume: 1821 Pages: 115-122

    • Related Report
      2013 Final Research Report
  • [Journal Article] Nonlinear Ergodic Theorems without Convexity for Nonexpansive Semigroups in Hilbert Spaces2013

    • Author(s)
      Sachiko Atsushiba  and Wataru Takahashi
    • Journal Title

      Journal of Nonlinear and Convex Analysis

      Volume: 14

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Banach spaces2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究 (Nonlinear analysis and convex analysis), RIMS Kokyuroku

      Volume: 1841 Pages: 35-41

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Nonlinear Ergodic Theorems without Convexity for Nonexpansive Semigroups in Hilbert Spaces2013

    • Author(s)
      Sachiko Atsushiba and Wataru Takahashi
    • Journal Title

      Journal of Nonlinear and Convex Analysis

      Volume: 14 Pages: 209-219

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong Convergence Theorems for Uniformly Asymptotically Regular Nonexpansive Semigroups in Banach spaces2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Banach and Function Spaces

      Volume: 4

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak and Strong Convergence Theorems for Uniformly Asymptotically Regular Nonexpansive Semigroups2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究 (Nonlinear Analysis and Convex Analysis), RIMS Kokyuroku

      Volume: 1821 Pages: 115-122

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Banach spaces2013

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究 (Nonlinear Analysis and Convex Analysis), RIMS Kokyuroku

      Volume: -

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Strong convergence theorems for uniformly asymptotically regular nonexpansive semigroups by Browder's type iterations2012

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Volume: 7 Pages: 11-19

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong Convergence Theorems for Uniformly Asymptotically Regular Nonexpansive Semigroups by Browder's type Iterations2012

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Volume: 7 Pages: 11-19

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak and strong convergence theorems for uniformly asymptotically regular nonexpansive semigroups2012

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuroku

      Volume: (印刷中)

    • Related Report
      2011 Annual Research Report
  • [Journal Article] On the approximating common fixed points and the existence of the common fixed points of nonexpansive semigroups2011

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Banach and Function Spaces

      Volume: 3 Pages: 351-365

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Viscosity approximation methods for fixed points problems2011

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuroku

      Volume: No.1755 Pages: 124-130

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
  • [Journal Article] Viscosity approximation methods for families of strictly pseudo contractive mappings and nonself nonexpansive mappings2011

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      バナッハ空間論の研究とその周辺,RIMS Kokyuroku

      Volume: No.1753 Pages: 82-89

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
  • [Journal Article] On the approximating common fixed points and the existence of the common fixed points of nonexpansive semigroups2011

    • Author(s)
      Sachiko Atsusbiba
    • Journal Title

      Banach and Function Spaces

      Volume: VOL.3(印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Viscosity Approximation Methods for Fixed Points Problems2011

    • Author(s)
      Sachiko Atsusbiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis),RIMS Kokyuroku

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Viscosity Approximation Methodsによるある非線形写像の不動点への収束について2011

    • Author(s)
      Sachiko Atsusbiba
    • Journal Title

      バナッハ空間論の研究とその周辺.RIMS Kokyuroku

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
  • [Journal Article] On the Approximated sequences and the existence of fixed points of nonlinear mappings2010

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      実解析学シンポジウム報告集(実解析学シンポジウム2010)

      Volume: 42 Pages: 67-70

    • Related Report
      2013 Final Research Report
  • [Journal Article] Hybrid type methodによる非拡大半群に対する強収束定理と共通不動点の存在について2010

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuraku

      Volume: No.1685 Pages: 138-148

    • Related Report
      2013 Final Research Report
  • [Journal Article] あるハイブリッドタイプの点列と非拡大写像の不動点の存在について2010

    • Author(s)
      Sachiko Atsusbiba
    • Journal Title

      非加法性の数理と情報:凸解析との接点(Information and mathematics of no-additivity and non-extensivity.:contacts with convex analysis),RIMS kokyuraku

      Volume: No.1683 Pages: 78-83

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
  • [Journal Article] On the Approximated Sequences and the Existence of.Fixed Points of Nonlinear Mappings2010

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      実解析学シンポジウム報告集(実解析学シンポジウム2010)

      Volume: 42 Pages: 67-70

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Hybrid type methad による非拡大半群に対する強収束定理と共通不動点の存在について2010

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuraku

      Volume: No.1685 Pages: 138-148

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Strong convergence theorems for nonexpansive semigroups by Halpern's type iterations

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Volume: 8(to appear, 掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong convergence to common attractive points of asymptotically regular nonexpansive semigroups

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      非線形解析学と凸解析学の研究(Nonlinear analysis and convex analysis), RIMS Kokyuroku

      Volume: (to appear, 掲載決定)

    • Related Report
      2013 Final Research Report
  • [Journal Article] Strong convergence theorems for families of nonexpansive mappings by Browder's type iterations

    • Author(s)
      Sachiko Atsushiba
    • Journal Title

      不確実さと曖昧さの数理, RIMS Kokuroku

      Volume: (to appear, 掲載決定)

    • Related Report
      2013 Final Research Report
  • [Presentation] Strong Convergence Theorems for Nonlinear Mappings by Iterative Schemes2014

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2014年度年会実函数論分科会
    • Place of Presentation
      学習院大学(東京都)
    • Year and Date
      2014-03-17
    • Related Report
      2013 Final Research Report
  • [Presentation] Attractive Points and Weak and Strong Convergence Theorems for Nonlinear Mappings2014

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「不確実さと曖昧さの数理」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2014-01-08
    • Related Report
      2013 Final Research Report
  • [Presentation] Strong Convergence Theorems for Nonlinear Mappings by Iterative Schemes2014

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2014年度年会実函数論分科会
    • Place of Presentation
      学習院大学, 東京都豊島区
    • Related Report
      2013 Annual Research Report
  • [Presentation] Attractive points and weak and strong convergence theorems for nonlinear mappings2014

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「不確実さと曖昧さの数理」
    • Place of Presentation
      京都大学数理解析研究所, 京都府京都市
    • Related Report
      2013 Annual Research Report
  • [Presentation] Strong Convergence Theorems by Halpern's Type Iterations for Nonlinear Mappings2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization (ICNAO2013)
    • Place of Presentation
      National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C.
    • Year and Date
      2013-12-20
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Strong Convergence Theorems for Nonlinear Mappings by Halpern's type iterations2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究」(Nonlinear Analysis and Convex Analysis)
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2013-10-10
    • Related Report
      2013 Final Research Report
  • [Presentation] Attractive point and convergence theorems for families of nonlinear Mappings2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2013年度秋季総合分科会実函数論分科会
    • Place of Presentation
      愛媛大学(愛媛県)
    • Year and Date
      2013-09-24
    • Related Report
      2013 Final Research Report
  • [Presentation] Common attractive points and weak and strong convergence theorems without convexity for nonexpansive semigroups2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The eighth international conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      Hirosaki University, Hirosaki, Aomori, Japan (青森県)
    • Year and Date
      2013-08-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Strong Convergence Theorems for Uniformly Asymptotically Regular Nonexpansive Semigroups2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2012年度年会実函数論分科会
    • Place of Presentation
      東京理科大学(東京都)
    • Year and Date
      2013-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] Common attractive points and weak and strong convergence theorems without convexity for nonexpansive semigroups2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The eighth international conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      Hirosaki Univ., Hirosaki, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] Strong Convergence Theorems by Halpern}s type iterations for nonlinear mappings2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization (ICNAO2014)
    • Place of Presentation
      National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C.
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Strong Convergence Theorems for Nonlinear Mappings by Halpern's type iterations2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究 (Nonlinear Analysis and Convex Analysis)」
    • Place of Presentation
      京都大学数理解析研究所, 京都府京都市
    • Related Report
      2013 Annual Research Report
  • [Presentation] Attractive point and convergence theorems for families of nonlinear mappings2013

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2013年度秋季総合分科会実函数論分科会, 2013.9.24.,
    • Place of Presentation
      愛媛大学, 愛媛県松山市
    • Related Report
      2013 Annual Research Report
  • [Presentation] Nonlinear Mean Convergence Theorems for Nonlinear Mappings2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2012年度秋季総合分科会実函数論分科会
    • Place of Presentation
      九州大学(福岡県)
    • Year and Date
      2012-09-20
    • Related Report
      2013 Final Research Report
  • [Presentation] Convergence of Iterative Sequences for Nonlinear Mappings2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Fourth International Symposium on Banach and Function Spaces2012 (ISBFS2012)
    • Place of Presentation
      Kyushu Institute of Technology, Tobata Campus, Kitakyushu, Japan(福岡県)
    • Year and Date
      2012-09-13
    • Related Report
      2013 Final Research Report
  • [Presentation] Nonlinear Mean Convergence Theorems for Families of Nonlinear Mappings2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Third Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
    • Place of Presentation
      Kunibiki Messe, Matsue, Japan (島根県)
    • Year and Date
      2012-09-03
    • Related Report
      2013 Final Research Report
  • [Presentation] Convergence Theorems for Asymptotically Regular Mappings2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究」(Nonlinear Analysis and Convex Analysis)
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2012-08-29
    • Related Report
      2013 Final Research Report
  • [Presentation] Convergence Theorems for Asymptotically Regular Nonexpansive Semigroups2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications (MINFAA2012)
    • Place of Presentation
      Gyeongsang National University, Jinju, Korea
    • Year and Date
      2012-07-25
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Invited
  • [Presentation] Strong convergence theorems for uniformly asymptotically regular nonexpansive semigroups2012

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      2012年日本数学会年会実函数論分科会
    • Place of Presentation
      東京理科大学(東京都)
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Fixed point iteration processes for nonlinear mappings2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2011年度秋季総合分科会実函数論分科会
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-28
    • Related Report
      2013 Final Research Report
  • [Presentation] Fixed point iteration processes for nonlinear mappings2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      2011年度日本数学会秋季総合分科会実函数論分科会
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Convergence theorems for fixed point problems and variational inequality2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The International Conference on Nonlinear Mathematics for Uncertainty and Its Applications (NLMUA2011)
    • Place of Presentation
      Beijing University of Technology, Grand Gongda Jianguo Hotel, China(招待講演)
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Convergence Theorems for Fixed Point Problems and Variational Inequality2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The International Conference on Nonlinear Mathematics for Uncertainty and Its Applications (NLMUA2011)
    • Place of Presentation
      Grand Gongda Jianguo Hotel, Beijing, China
    • Year and Date
      2011-09-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Pointwise Asymptotically Nonexpansive Mappingsに対する不動点問題2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究」(Nonlinear Analysis and Convex Analysis)
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-08-30
    • Related Report
      2013 Final Research Report
  • [Presentation] Pointwise asymptotically nonexpansive mappingsに対する不動点問題2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究(Nonlinear Analysis and Convex Analysis)
    • Place of Presentation
      京都大学数理解析研究所(京都府)(招待講演)
    • Year and Date
      2011-08-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Weak and strong convergence theorems for fixed point problems and variational inequality problems2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Seventh International Conference on Nonlinear Analysis and Convex Analysis (NACA2011)
    • Place of Presentation
      Pukyong National University (PKNU), Busan, Republic of Korea
    • Year and Date
      2011-08-02
    • Related Report
      2013 Final Research Report
  • [Presentation] Weak and strong convergence theorems for fixed point problems and variational inequality problems2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Seventh International Conference on Nonlinear Analysis and Convex Analysis (NACA2011)
    • Place of Presentation
      Pukyong National University, Busan, Republic of Korea
    • Year and Date
      2011-08-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Viscosity Approximation Methods for Families of Nonexpansive Mappings2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2011年度年会実函数論分科会
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2011-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Viscosity Approximation Methods for Families of Nonexpansive Mappings2011

    • Author(s)
      厚芝幸子
    • Organizer
      Viscosity Approximation Methods for Families of NonexpansiveMappings
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2011-03-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 非線形写像の不動点問題に関する収束定理2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「バナッハ空間論の研究とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-02-15
    • Related Report
      2013 Final Research Report
  • [Presentation] 非線形写像の不動点問題に関する収束定理2011

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「バナッハ空間論の研究とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都府) 招待講演
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Viscosity Approximation of Common Fixed Points of Nonlinear Mappings in Banach Spaces2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      International Conference on Mathematical Analysis 2010(ICMA2010)
    • Place of Presentation
      タワナホテル{タイ)
    • Year and Date
      2010-12-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Viscosity Approximation of Common Fixed Points of Nonlinear Mappings in Banach Spaces2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      International Conference on Mathematical Analysis 2010 (ICMA2010)
    • Place of Presentation
      Tawana Hotel, Bangkok, Thailand
    • Year and Date
      2010-12-07
    • Related Report
      2013 Final Research Report
  • [Presentation] On the Approximated Sequences and the Existence of Fixed Points of Nonlinear Mappings2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      実解析シンポジウム2010
    • Place of Presentation
      九州工業大学工学部(福岡県)
    • Year and Date
      2010-11-13
    • Related Report
      2013 Final Research Report
  • [Presentation] On the Approximated Sequences and the Existence of Fixed Points of Nonlinear Mappings2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学(福岡県)
    • Year and Date
      2010-11-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Approximating Fixed Points of Nonlinear Mappings by Implicit Iterative Sequences2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Second Asian Conference on Nonlinear Analysis and Optimization(NAO-Asia 2010)
    • Place of Presentation
      Royal Paradise Hotel & Spa, Patong beach, Phuket, Thailand
    • Year and Date
      2010-09-09
    • Related Report
      2013 Final Research Report
  • [Presentation] Approximating Fixed Points of Nonlinear Mappings by Implicit Iterative Sequences2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      TheSecond Asian Conference on Nonlinear Analysis and Optimization(NAO-Asia2010)
    • Place of Presentation
      ロイヤルパラダイスホテル&スパ(タイ)
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Sequences by the Hybrid Type Method and the Existence of Fixed Points(ハイブリッド型点列と不動点の存在について)2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2010-08-31
    • Related Report
      2013 Final Research Report
  • [Presentation] On the Sequences by the Hybrid Type Method and the Existence of Fixed Points(ハイブリッド型点列と不動点の存在について)2010

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学の研究」
    • Place of Presentation
      京都大学数理解析研究所(京都府) 招待講演
    • Year and Date
      2010-08-31
    • Related Report
      2010 Annual Research Report
  • [Presentation] Convergence Theorems for Asymptotically Regular Mappings

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      RIMS研究集会「非線形解析学と凸解析学 (Nonlinear Analysis and Convex Analysis) 」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Nonlinear Mean Convergence Theorems for Families of Nonlinear Mappings

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Third Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
    • Place of Presentation
      Kunibiki Messe, Matsue, Shimane, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] Convergence of Iterative Sequences for Nonlinear Mappings

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      The Fourth International Symposium on Banach and Function Spaces 2012 (ISBFS2012)
    • Place of Presentation
      Kyushu Institute of Technology,Tobata Campus, Kitakyushu, Fukuoka, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] Nonlinear Mean Convergence Theorems for Nonlinear Mappings

    • Author(s)
      Sachiko Atsushiba
    • Organizer
      日本数学会2012年度秋季総合分科会実函数論分科会
    • Place of Presentation
      九州大学 (福岡県)
    • Related Report
      2012 Annual Research Report
  • [Remarks] 厚芝幸子の最近の研究について

    • URL

      http://sangaku.yamanashi.ac.jp/SearchResearcher/contents/FC0D5F9390E4AB27.html

    • Related Report
      2013 Annual Research Report
  • [Remarks] 山梨大学教育人間科学部・大学院教育学研究科研究室紹介 厚芝研究室

    • URL

      http://www.edu.yamanashi.ac.jp/office/profile/kagakukyouiku/atsushiba.html

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www.edu.yamanashi.ac.jp/office/profile/kagakukyouiku/atsushiba.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1685-15.pdf

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/Pdf/1683-09.pdf

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.u-toyama.ac.jp/~kikuchi/real-sympo/index.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.sci.nu.ac.th/mathematics/NAO-Asia2010/?page=home

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.sc.chula.ac.th/icma2010/home

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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