The Study of Nonlinear Functional Analysis and Nonlinear Problems Based on Fixed Point Theory and Convex Analysis

• Project/Area Number: 23540188
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Keio University (2013-2014); Tokyo Institute of Technology (2011-2012)
• Principal Investigator: TAKAHASHI Wataru 慶應義塾大学, 自然科学研究教育センター, 訪問教授 (40016142)
• Co-Investigator(Kenkyū-buntansha): TANIGUCHI Masaharu 岡山大学, 自然科学研究科, 教授 (30260623) ; KIMURA Yasunori 東邦大学, 理学部, 准教授 (20313447)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
• Keywords: 非線形関数解析学 / 凸解析学 / 不動点理論 / 最適化理論 / 非線形作用素 / 均衡点問題 / 不動点アルゴリズム / バナッハ空間 / 非線形関数解析 / 凸解析 / 不動点 / 最適化 / 均衡点

Outline of Final Research Achievements

In this research, we studied nonlinear functional analysis and nonlinear problems by using fixed point theory and convex analysis. At first, we introduced the concept of attractive points of nonlinear mappings in Hilbert spaces and Banach spaces. Then we proved the existence of atrractive points and nonlinear mean convergence theorems. Furthermore, we proved weak and strong convergence theorems for semigroups of not necessarily continuous mappings in Hilbert spaces and Banach spaces. Using these theorems, we solved nonlinear problems which are important in many areas of applied mathematics.

Research Products

• [Journal Article] The split feasibility problem in Banach spaces (2014)
  • Author(s): W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 15
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Nonlinear ergodic theorems for widely more generalized hybrid mappings in Hilbert spaces (2014)
  • Author(s): M. Hojo, W. Takahashi
  • Journal Title: J. Nonlinear Anal. Optim. Volume: 5
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Attractive point and mean convergence theorems for semigroups of mappings without continuity in Hilbert spaces (2014)
  • Author(s): W. Takahashi, N.-C. Wong and J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 15
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Strong convergence of projection methods for Bregman asymptotically quasi-nonexpansive mappings and equilibrium problems in Banach spaces (2014)
  • Author(s): E. Naraghirad, W. Takahashi, J.-C. Yao
  • Journal Title: Pacific J. Optim. Volume: 10
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Unique fixed point theorems for nonlinear mappings in Hilbert spaces (2014)
  • Author(s): W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 15
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Nonlinear ergodic theorem for positively homogeneous nonexpansive mappings in Banach spaces (2014)
  • Author(s): W. Takahashi, N.-C. Wong and J.-C. Yao
  • Journal Title: Numerical Funct. Anal. Optim. Volume: 35
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Weak and strong convergence theorems for commutative families of positively homogeneous nonexpansive mappings in Banach spaces (2014)
  • Author(s): W. Takahashi, N.-C. Wong and J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 15
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Nonlinear ergodic theorem for commutative families of positively homogeneous nonexpansive mappings in Banach spaces (2014)
  • Author(s): W. Takahashi, N.-C. Wong and J.-C. Yao
  • Journal Title: J. Convex Anal. Volume: 21
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces (2014)
  • Author(s): M. Hojo, W. Takahashi
  • Journal Title: Nihonkai Math. J. Volume: 25
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Existence and mean approximation of fixed points of generalized hybrid mappings in Hilbert spaces (2013)
  • Author(s): T. Kawasaki, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Attractive point theorems and ergodic theorems for 2-generalized nonspreading mappings in Banach spaces (2013)
  • Author(s): L.-J. Lin, W. Takahashi, Z.-T. Yu
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for maximal and inverse-strongly monotone mappings in Hilbert spaces (2013)
  • Author(s): W. Takahashi
  • Journal Title: J. Optim. Theory Appl. Volume: 157
  • Peer Reviewed
• [Journal Article] Attractive point theorems for generalized nonspreading mappings in Banach spaces (2013)
  • Author(s): L.-J. Lin, W. Takahashi,
  • Journal Title: J. Convex Anal. Volume: 20
  • Peer Reviewed
• [Journal Article] Halpern's type iterations with perturbations in Hilbert spaces (2013)
  • Author(s): C.-S. Chuang, L.-J. Lin, W. Takahashi
  • Journal Title: J. Global Optim. Volume: 56
  • Peer Reviewed
• [Journal Article] Nonlinear ergodic theorems without convexity for nonexpansive semigroups in Hilbert spaces (2013)
  • Author(s): S. Atsushiba, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Fixed point theorems and convergence theorems for generalized hybrid non-self mappings in Hilbert spaces (2013)
  • Author(s): M. Hojo, T. Suzuki, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Fixed point theorems for general contractive mappings with w-distances in metric spaces (2013)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Fixed point theorems for new generalized hybrid mappings in Hilbert spaces and applications (2013)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: Taiwanese J. Math. Volume: 17
  • Peer Reviewed
• [Journal Article] Weak and strong convergence theorems for semigroups of mappings without continuity in Hilbert spaces (2013)
  • Author(s): N. Hussain, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 14
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces (2012)
  • Author(s): S. Dhompongsa, W. Takahashi, H. Yingtaweesittikul
  • Journal Title: Pac. J. Optim. Volume: 8
  • Peer Reviewed
• [Journal Article] Generalized hybrid mappings in Hilbert spaces and Banach spaces (2012)
  • Author(s): M.-H. Hsu, W. Takahashi, J.-C. Yao
  • Journal Title: Taiwanese J. Math. Volume: 16
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces (2012)
  • Author(s): M. Hojo, W. Takahashi, I. Termwuttipong
  • Journal Title: Nonlinear Anal. Volume: 75
  • Peer Reviewed
• [Journal Article] Generalized retraction and fixed point theorems using Bregman functions in Banach spaces (2012)
  • Author(s): E. Naraghirad, W. Takahashi, J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Fixed point theorems for contractively generalized hybrid mappings in complete metric spaces (2012)
  • Author(s): L.-J. Lin, W. Takahashi, S.Y. Wang
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for nonexpansive mappings on star-shaped sets in Hilbert spaces (2012)
  • Author(s): S. Akashi, W. Takahashi
  • Journal Title: Appl. Math. Comput. Volume: 219
  • Peer Reviewed
• [Journal Article] Fixed point theorems for three new nonlinear mappings in Banach spaces (2012)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Two generalized strong convergence theorems of Halpern's type in Hilbert spaces and applications (2012)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: Taiwanese J. Math. Volume: 16
  • Peer Reviewed
• [Journal Article] Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces (2012)
  • Author(s): L.-J. Lin, W. Takahashi
  • Journal Title: Taiwanese J. Math. Volume: 16
  • Peer Reviewed
• [Journal Article] Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings (2012)
  • Author(s): C. Klin-eam, S. Suantai, W. Takahashi
  • Journal Title: Taiwanese J. Math. Volume: 16
  • Peer Reviewed
• [Journal Article] Fixed point theorems for single-valued and set-valued mappings n complete metric spaces (2012)
  • Author(s): C.-S. Chuang, L.-J. Lin, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Fixed point and nonlinear ergodic theorems for new nonlinear mappings in Hilbert spaces (2012)
  • Author(s): T. Kawasaki, W. Takahashi
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces (2012)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: J. Fixed Point Theory Appl. Volume: 11 Pages: 159-183
  • Peer Reviewed
• [Journal Article] Attractive point and weak convergence theorems for new generalized hybrid mappings in Hilbert spaces (2012)
  • Author(s): W. Takahashi, N.-C. Wong, J.-C. Yao
  • Journal Title: J. Nonlinear Convex Anal. Volume: 13
  • Peer Reviewed
• [Journal Article] Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces (2012)
  • Author(s): W. Takahashi, J.-C. Yao
  • Journal Title: J. Fixed Point Theory Appl. Volume: 11
  • Peer Reviewed
• [Journal Article] A general itarative method for variational inequality problems in Hilbert spaces and applications (2012)
  • Author(s): L.-J. Lin, W. Takahashi
  • Journal Title: Positivity Volume: 16
  • Peer Reviewed
• [Journal Article] Approximation of common solutions for monotone inclusion problems and equilibrium problems in Hilbert spaces (2012)
  • Author(s): M. Hojo, W. Takahashi
  • Journal Title: Nihonkai Math. J. Volume: 23
  • Peer Reviewed
• [Journal Article] Proximal point methods for monotone operators in Banach spaces (2011)
  • Author(s): Koji Aoyama, Fumiaki Kohsaka, Wataru Takahashi
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] Fixed point and mean ergodic theorems for new nonlinear mappings in Hilbert spaces (2011)
  • Author(s): Toru Maruyama, Wataru Takahashi, Masayuki Yao
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces (2011)
  • Author(s): Pavel Kocourek, Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Advances in Mathematical Economics Volume: VOL. 14
  • Peer Reviewed
• [Journal Article] Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces (2011)
  • Author(s): Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] A weak convergence theorem for common fixed points of some generalized nonexpansive mappings and nonspreading mappings in a Hilbert space (2011)
  • Author(s): Sompong Dhompongsa, Warunun Inthakon, Wataru Takahashi
  • Journal Title: Optimization Volume: VOL. 60
  • Peer Reviewed
• [Journal Article] Weak convergence theorems for 2-generalized hybrid mappings in Hilbert spaces (2011)
  • Author(s): Wataru Takahashi, Imchit Termwuttipong
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space (2011)
  • Author(s): Hiroko Manaka, Wataru Takahashi
  • Journal Title: Cubo Volume: VOL. 13
  • Peer Reviewed
• [Journal Article] Nonlinear operators of monotone type and convergence theorems with equilibrium problems in Banach spaces (2011)
  • Author(s): Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] Weak and strong convergence theorems for generalized hybrid mappings in Hilbert spaces (2011)
  • Author(s): Mayumi Hojo, Wataru Takahashi
  • Journal Title: Scienticae Mathematicae Japonicae Volume: VOL. 73
  • NAID: 10027790492
  • Peer Reviewed
• [Journal Article] Nonlinear ergodic theorem without convexity for generalized hybrid mappings in a Hilbert space (2011)
  • Author(s): Wataru Takahashi, Yukio Takeuchi
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Weak convergence theorems for generalized hybrid mappings in Banach spaces (2011)
  • Author(s): Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Journal of Nonlinear Analysis and Optimization Volume: VOL. 2
  • Peer Reviewed
• [Journal Article] Weak and strong convergence theorems for positively homogenuous nonexpansive mappings in Banach spaces (2011)
  • Author(s): Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] Weak and strong convergence theorems for supper hybrid mappings in Hilbert spaces (2011)
  • Author(s): Mayumi Hojo, Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Fixed Point Theory Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces (2011)
  • Author(s): Taksaporn Butsan, Sompong Dhompongsa, Wataru Takahashi
  • Journal Title: Nonlinear Analysis Volume: VOL. 74
• [Journal Article] Generalized projection algorithms for maximal monotone operators and relatively nonexpansive mappings in Banach spaces (2011)
  • Author(s): Chakkrid Klin-eam, Suthep Suantai, Wataru Takahashi
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] Fixed point theorems for general contractive mappings in metric spaces and estimating expressions (2011)
  • Author(s): Ken Hasegawa, Toshiyuki Komiya, Wataru Takahashi
  • Journal Title: Scienticae Mathematicae Japonicae Volume: VOL. 74
  • NAID: 130007670075
  • Peer Reviewed
• [Journal Article] Strong convergence theorems by hybrid methods for nonexpansive mappings with equilibrium problems in Banach spaces (2011)
  • Author(s): Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Advances in Mathematical Economics Volume: VOL. 15
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for finite generalized nonexpansive mappings in Banach spaces (2011)
  • Author(s): Takanori Ibaraki, Wataru Takahashi
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Approximations for nonlinear mappings by the hybrid method in Hilbert spaces (2011)
  • Author(s): Kazuhide Nakajo, Kazuya Shimoji, Wataru Takahashi
  • Journal Title: Nonlinear Analysis Volume: VOL. 74
  • Peer Reviewed
• [Journal Article] Nonlinear projections and generalized conditional expectations in Banach spaces (2011)
  • Author(s): Takashi Honda, Wataru Takahashi
  • Journal Title: Taiwanese Journal of Mathematics Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Weak and strong convergence theorems for extended hybrid mappings in Hilbert spaces (2011)
  • Author(s): Wataru Takahashi, Ngai-Ching Wong, Jen-Chih Yao
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: VOL. 12
  • Peer Reviewed
• [Journal Article] Strong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappings (2011)
  • Author(s): Yasunori Kimura, Wataru Takahashi, Jen-Chih Yao
  • Journal Title: Journal of Optimization Theory and Applications Volume: VOL. 149
  • Peer Reviewed
• [Presentation] Iterative Methods for Split Feasibility Problems and Split Common Null Point Problemsin Banach Spaces (2015)
  • Author(s): W. Takahashi
  • Organizer: The 9th International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Rimkok Resort Hotel, Chiang Rai, Thailand
  • Year and Date: 2015-01-21 – 2015-01-25
  • Invited
• [Presentation] Iterative Methods for Split Common Fixed Point Problems (2014)
  • Author(s): W. Takahashi
  • Organizer: The 2014-Annual Meeting of Taiwanese Mathematical Society
  • Place of Presentation: National Cheng Kung University, Tainan, Taiwan
  • Year and Date: 2014-12-06 – 2014-12-07
  • Invited
• [Presentation] Unique Fixed Point Theorems for Nonlinear Mappings in Hilbert Spaces (2014)
  • Author(s): W. Takahashi
  • Organizer: The International Workshop on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
  • Year and Date: 2014-08-19 – 2014-08-21
  • Invited
• [Presentation] Iterative Methods for Generalized Split Feasibility Problems in Nonlinear Analysis (2014)
  • Author(s): W. Takahashi
  • Organizer: The Fourth Asian Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: National Taiwan Normal University, Taipei, Taiwan
  • Year and Date: 2014-08-05 – 2014-08-09
  • Invited
• [Presentation] Iterative Methods for Common Null Point Problems in Hilbert Spaces (2014)
  • Author(s): W. Takahashi
  • Organizer: The 8th Asian Conference on Fixed Point Theory and Optimization
  • Place of Presentation: Naresuan University, Phitsanulok, Thailand
  • Year and Date: 2014-07-28 – 2014-07-30
  • Invited
• [Presentation] Inverse problems and nonlinear analysis (2014)
  • Author(s): W. Takahashi
  • Organizer: 不確実さと曖昧さの数理, RIMS研究集会
  • Place of Presentation: 京都大学数理解析研究所, 京都
  • Invited
• [Presentation] Convergence theorems for commutative families of positively homogeneous nonexpansive mappings in Banach spaces (2013)
  • Author(s): W. Takahashi
  • Organizer: The 7th Asian Conference on Fixed Point Theory and Optimization 2013
  • Place of Presentation: Kasetsart University, Kamphang Saen Campus, Thailand
  • Invited
• [Presentation] Fixed point and convergence theorems for semigroups of not necessarily continuous mappings (2013)
  • Author(s): W. Takahashi
  • Organizer: The 8-th International Conference of Nonlinear Analysis and Convex Analysis (NACA 2013)
  • Place of Presentation: Hirosaki University, Hirosaki, Japan
  • Invited
• [Presentation] Weak and Strong Convergence Theorems for Semigroups of Not Necessarily Continuous Mappings (2013)
  • Author(s): W. Takahashi
  • Organizer: Nonlinear Amalysis and Convex Alalysis, RIMS研究集会
  • Place of Presentation: 京都大学数理解析研究所, 京都
  • Invited
• [Presentation] Attractive Point and Mean Convergence Theorems for Semigroups of Mappings without Continuity (2013)
  • Author(s): W. Takahashi
  • Organizer: International Conference of Nonlinear Analysis and Optimization
  • Place of Presentation: National Sun Yat-sen University, Kaohsiung, Taiwan
  • Invited
• [Presentation] Iterative Common Solutions for Monotone Inclusion Problems, Fixed Point Problems, Equilibrium Problems and Applications (2013)
  • Author(s): W. Takahashi
  • Organizer: International Symposium on Nonlinear Analysis and Optimization 2013
  • Place of Presentation: Pukyong National University, Busan
  • Invited
• [Presentation] Linear Operators in Nonlinear Analysis and Applications (2012)
  • Author(s): W. Takahashi
  • Organizer: The Eleventh Workshop on Numerical Ranges and Numerical Radii
  • Place of Presentation: National Sun Yat-sen University, Kaosiung, Taiwan
  • Invited
• [Presentation] Fixed Point and Attractive Point Theorems for New Nonlinear Mappings (2012)
  • Author(s): W. Takahashi
  • Organizer: The 6-th International Conference on Fixed Point Theory and Applications
  • Place of Presentation: Uttaradit Rajabhat University, Uttaradit, Thailand
  • Invited
• [Presentation] Existence and Approximation of Attractive Points of Nonlinear Mappings in Banach Spaces (2012)
  • Author(s): W. Takahashi
  • Organizer: The International Workshop on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Nonlinear Analytic Methods for Linear Operators and Applications (2012)
  • Author(s): W. Takahashi
  • Organizer: The Third Asian Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: Matsue, Japan
  • Invited
• [Presentation] Fixed Point Theorems, Duality Theorems and Convergence Theorems for Nonlinear Operators in Banach Spaces (2012)
  • Author(s): W. Takahashi
  • Organizer: The Fourth International Symposium on Banach and Function Spaces
  • Place of Presentation: Kitakyusyu, Japan
  • Invited
• [Presentation] Nonlinear Analytic Methods for Linear Operators in Banach Spaces (2012)
  • Author(s): W. Takahashi
  • Organizer: 2012 Workshop on Nonlinear Analysis and Optimization
  • Place of Presentation: Department of Mathematics National Taiwan Normal University
  • Invited
• [Presentation] Monotone Inclusion Problems, Fixed Point Problems, Equilibrium Problems and Applications (2012)
  • Author(s): W. Takahashi
  • Organizer: The 2012-Annual Meeting of Taiwanese Mathematical Society
  • Place of Presentation: National Chiao Tung University, Hsinchu, Taiwan
  • Invited
• [Presentation] 連続性を仮定しない写像の不動点定理と凸性を仮定しない非線形エルゴード定理 (2012)
  • Author(s): 高橋 渉
  • Organizer: 第38回発展方程式研究会
  • Place of Presentation: 日本女子大学目白キャンパス
• [Presentation] Nonlinear Analytic Methods for Linear Operators in Banach Spaces (2012)
  • Author(s): 高橋 渉
  • Organizer: 第21 回関数空間セミナー
  • Place of Presentation: 東京理科大学理学部
• [Presentation] Fixed Point and Ergodic Theorems without Convexity and Some Related Topics (2012)
  • Author(s): Wataru Takahashi
  • Organizer: Workshop on Analysis and Optimization(招待講演)
  • Place of Presentation: National Sun Yat-sen University, Kaosiung, Taiwan
• [Presentation] Fixed Point and Equilibrium Problems with Variational Inequality Problems in Hilbert Spaces (2012)
  • Author(s): Wataru Takahashi
  • Organizer: International Symposium on Nonlinear Analysis and Optimization 2012(ISNAO2012)(招待講演)
  • Place of Presentation: Pukyong National University, Pusan, Korea
• [Presentation] Classes of New Nonlinear Mappings and Fixed Point and Convergence Theorems (2011)
  • Author(s): Wataru Takahashi
  • Organizer: The 7-th International Conference of Nonlinear Analysis and Convex Analysis (NACA 2011)(招待講演)
  • Place of Presentation: Pukyong National University, Busan, Korea
• [Presentation] Nonlinear Operators and Convergence Theorems in Optimization (2011)
  • Author(s): Wataru Takahashi
  • Organizer: 2011 RIMS Workshop on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Fixed Point Theorems and Nonlinear Ergodic Theorems for Generalized Hybrid Mappings in Hilbert Spaces (2011)
  • Author(s): Wataru Takahashi
  • Organizer: The 1st International Conference of Graduate Students with Sisterhood University(招待講演)
  • Place of Presentation: National Changhua University, Changhua, Taiwan
• [Presentation] Nonlinear Ergodic Theorems without Convexity for Nonlinear Mappings in Banach Spaces (2011)
  • Author(s): Wataru Takahashi
  • Organizer: 2011 Workshop on Nonlinear Analysis and Optimization(招待講演)
  • Place of Presentation: National Taiwan Normal University, Taipei, Taiwan
• [Presentation] Nonlinear Ergodic Theorems without Convexity (2011)
  • Author(s): Wataru Takahashi
  • Organizer: 2011 Workshop on Fixed Point Theory, Optimization and Their Applications(招待講演)
  • Place of Presentation: National Kaohsiung Normal University, Kaohsiung, Taiwan
• [Presentation] Nonlinear Operators in Optimization and Fixed Point Algorithms (2011)
  • Author(s): Wataru Takahashi
  • Organizer: The 2011-Annual Meeting of Taiwanese Mathematical Society(招待講演)
  • Place of Presentation: Chung Yuan University, Chung-Li, Taiwan
• [Presentation] Attractive Point Theorems and Nonlinear Ergodic Theorems for Generalized Nonlinear Mappings in Banach Spaces (2011)
  • Author(s): Wataru Takahashi
  • Organizer: 第２０回関数空間セミナー
  • Place of Presentation: 北海道大学理学部