Study of equilibrium problems and its application to optimization problems

• Project/Area Number: 21540113
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Chiba University
• Principal Investigator: AOYAMA Koji 千葉大学, 法経学部, 教授 (20293152)
• Co-Investigator(Renkei-kenkyūsha): SATO Eisaku 千葉大学, 法経学部, 教授 (10366940)
• Project Period (FY): 2009-04-01 – 2014-03-31
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
• Keywords: 均衡問題 / 不動点理論 / 凸解析 / 最適化 / アルゴリズム / スペース配分最適化

Research Abstract

In this research, we dealt with equilibrium problems, fixed point problems, zero point problems, and variational inequality problems in Banach spaces and Hilbert spaces. Then we obtained some existence theorems and convergence theorems for such problems by using the method of fixed point theory and nonlinear operator theory. Moreover, we also investigated relationships between approximation methods of fixed points, and strong or firm nonexpansiveness of nonlinear mappings.

Research Products

• [Journal Article] Viscosity ap- proximation methods with a sequence of con- tractions (2014)
  • Author(s): K. Aoyama and Y. Kimura
  • Journal Title: Cubo Volume: 16
  • Peer Reviewed
• [Journal Article] Viscosity ap- proximation process for a sequence of quasi- nonexpansive mappings (2014)
  • Author(s): K. Aoyama and F. Kohsaka
  • Journal Title: Fixed Point Theory and Applications Volume: 17 Issue: 1 Pages: 11-11
  • DOI: 10.1186/1687-1812-2014-17
  • Peer Reviewed
• [Journal Article] Viscosity approximation methods with a sequence of contractions (2014)
  • Author(s): Koji Aoyama and Yasunori Kimura
  • Journal Title: Cubo Volume: 16 Pages: 9-20
  • Peer Reviewed
• [Journal Article] Approximations to solutions of the variational inequality problem for inverse-strongly-monotone mappings (2013)
  • Author(s): K. Aoyama
  • Journal Title: Pro- ceedings of 7th international conference on Nonlinear Analysis and Convex Analysis -I- Volume: (Yokohama Publishers)
  • Peer Reviewed
• [Journal Article] A note on the hybrid steepest descent methods (2013)
  • Author(s): K. Aoyama and Y. Kimura
  • Journal Title: Proceed- ings of The 10th International Conference on Fixed Point Theory and its Applications, House of the Book of Science Cluj-Napoca, Romania
  • Peer Reviewed
• [Journal Article] A note on the hybrid steepest descent methods (2013)
  • Author(s): Koji Aoyama and Yasunori Kimura
  • Journal Title: Proceedings of The 10th International Conference on Fixed Point Theory and its Applications Volume: - Pages: 73-80
  • Peer Reviewed
• [Journal Article] Approximations to solutions of the variational inequality problem for inverse-strongly-monotone mappings (2013)
  • Author(s): Koji Aoyama
  • Journal Title: Proceedings of 7th international conference on Nonlinear Analysis and Convex Analysis -I- Volume: - Pages: 1-9
  • Peer Reviewed
• [Journal Article] バナッハ空間における単調作用素に対する近接点法 (2013)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1841 Pages: 69-76
• [Journal Article] 不動点集合上の変分不等式問題と不動点問題の求解法 (2013)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1852 Pages: 15-24
• [Journal Article] バナッハ空間における堅非拡大型写像の不動点の存在について (2013)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1821 Pages: 55-62
• [Journal Article] Uniform mean convergence theorems for hybrid mappings in Hilbert spaces (2012)
  • Author(s): K. Aoyama and F. Kohsaka
  • Journal Title: Fixed Point Theory and Ap- plications Volume: 193 Pages: 13-13
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for strongly rel- atively nonexpansive sequences and applica- tions (2012)
  • Author(s): K. Aoyama, Y. Kimura and F. Kohsaka
  • Journal Title: Journal of Nonlinear Analysis and Op- timization : Theory & Applications Volume: 3
  • Peer Reviewed
• [Journal Article] Uniform mean convergence theorems for hybrid mappings in Hilbert spaces (2012)
  • Author(s): Koji Aoyama and Fumiaki Kohsaka
  • Journal Title: Fixed Point Theory and Applications Volume: 2012:193 Issue: 1
  • DOI: 10.1186/1687-1812-2012-193
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for strongly relatively nonexpansive sequences and applications (2012)
  • Author(s): Koji Aoyama, Yasunori Kimura, and Fumiaki Kohsaka
  • Journal Title: Journal of Nonlinear Analysis and Optimization: Theory & Applications Volume: 3 Pages: 67-77
  • Peer Reviewed
• [Journal Article] 擬非拡大写像列の共通不動点問題に関する収束定理 (2012)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1819 Pages: 1-8
• [Journal Article] ハイブリッド写像の不動点定理と平均収束定理 (2012)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1820 Pages: 1-10
• [Journal Article] Strong convergence theorems for strongly relatively nonexpansive sequences and applications (2012)
  • Author(s): Koji Aoama, Yasunori Kimura, Fumiaki Kohsaka
  • Journal Title: arXiv Volume: 1202.1628 Pages: 11-11
• [Journal Article] Fixed point the- orem forα-nonexpansive mappings in Ba- nach spaces (2011)
  • Author(s): K. Aoyama and F. Kohsaka
  • Journal Title: Nonlinear Analysis Series A : Theory, Methods & Applications Volume: 74
  • Peer Reviewed
• [Journal Article] Fixed point and mean convergence theorems for a family ofλ- hybrid mappings (2011)
  • Author(s): K. Aoyama and F. Kohsaka
  • Journal Title: Journal of Nonlinear Anal- ysis and Optimization : Theory & Applica- tions Volume: 2
  • Peer Reviewed
• [Journal Article] Proximal point methods for monotone oper- ators in Banach spaces (2011)
  • Author(s): K. Aoyama, F. Kohsaka and W. Takahashi
  • Journal Title: Taiwanese Journal of Mathematics Volume: 15
  • Peer Reviewed
• [Journal Article] Strong conver- gence theorems for strongly nonexpansive se- quences (2011)
  • Author(s): K. Aoyama and Y. Kimura
  • Journal Title: Applied Mathematics and Compu- tation Volume: 217
  • Peer Reviewed
• [Journal Article] Asymptotic fixed points of se- quences of quasi-nonexpansive type map- pings (2011)
  • Author(s): K. Aoyama
  • Journal Title: Proceedings of the International Sym- posium on Banach and Function Spaces III Volume: (Yokohama Publishers)
  • Peer Reviewed
• [Journal Article] Halpern's iteration for a se- quence of quasinonexpansive type map- pings (2011)
  • Author(s): K. Aoyama
  • Journal Title: Nonlinear Mathematics for Uncer- tainty and Its Applications, Springer-Verlag Pages: 387-394
  • Peer Reviewed
• [Journal Article] Fixed point theorem for $＼alpha$-nonexpansive mappings in Banach spaces (2011)
  • Author(s): Koji Aoama, Fumiaki Kohsaka
  • Journal Title: Nonlinear Analysis Series A : Theory, Methods & Applications Volume: 74 Issue: 13 Pages: 4387-4391
  • DOI: 10.1016/j.na.2011.03.057
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for strongly nonexpansive sequences (2011)
  • Author(s): Koji Aoyama, Yasunori Kimura
  • Journal Title: Applied Mathematics and Computation Volume: 217 Issue: 19 Pages: 7537-7545
  • DOI: 10.1016/j.amc.2011.01.092
  • Peer Reviewed
• [Journal Article] Fixed point and mean convergence theorems for a family of $＼lambda$-hybrid mappings (2011)
  • Author(s): Koji Aoyama, Fumiaki Kohsaka
  • Journal Title: Journal of Nonlinear Analysis and Optimization : Theory & Applications Volume: 2 Pages: 85-92
  • Peer Reviewed
• [Journal Article] Halpern's iteration for a sequence of quasinonexpansive type mappings (2011)
  • Author(s): Koji Aoyama
  • Journal Title: Proceedings of Nonlinear Mathematics for Uncertainty and Its Applications Pages: 387-394
  • NAID: 40022188899
  • Peer Reviewed
• [Journal Article] Asymptotic fixed points of sequences of quasi-nonexpansive type mappings (2011)
  • Author(s): Koji Aoyama
  • Journal Title: Proceedings of the International Symposium on Banach and Function Spaces III Pages: 343-350
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for a family of firmly nonexpansive type mappings (2011)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1753 Pages: 152-161
  • NAID: 110008616101
• [Journal Article] 堅非拡大型写像について (2011)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1755 Pages: 9-16
• [Journal Article] Proximal point methods for monotone operators in Banach spaces (2011)
  • Author(s): K.Aoyama, F.Kohsaka, W.Takahashi
  • Journal Title: Taiwanese Journal of Mathematics Volume: 15 Pages: 259-281
  • NAID: 110009602747
  • Peer Reviewed
• [Journal Article] A note on the hybrid steepest descent methods (2011)
  • Author(s): K.Aoyama, Y.Kimura
  • Journal Title: arXiv Volume: 1101.0881 Pages: 7-7
• [Journal Article] Fixed point and ergodic the- orems forλ-hybrid mappings in Hilbert spaces (2010)
  • Author(s): K. Aoyama, S. Iemoto, F. Kohsaka and W. Takahashi
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: 11
  • Peer Reviewed
• [Journal Article] Existence of fixed points of firmly nonexpansive-like map- pings in Banach spaces (2010)
  • Author(s): K. Aoyama and F. Kohsaka
  • Journal Title: Fixed Point Theory and Applications 2010 Volume: Article ID 512751 Pages: 15-15
  • Peer Reviewed
• [Journal Article] An iterative method for a vari- ational inequality problem over the com- mon fixed point set of nonexpansive map- pings (2010)
  • Author(s): K. Aoyama
  • Journal Title: Proceedings of the 6th International Conference on Nonlinear Analysis and Con- vex Analysis Volume: (Yokohama Publishers) Pages: 21-28
  • Peer Reviewed
• [Journal Article] An iterative method for fixed point problems for sequences of nonexpan- sive mappings (2010)
  • Author(s): K. Aoyama
  • Journal Title: Proceedings of The 9th Inter- national Conference on Fixed Point Theory and its Applications Volume: (Yokohama Publishers) Pages: 1-7
  • Peer Reviewed
• [Journal Article] 均衡問題に関する収束定理 (2010)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1683
• [Journal Article] Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces (2010)
  • Author(s): K.aoyama, F.Kohsaka
  • Journal Title: Fixed Point Theory and Applications Volume: 2010 Pages: 15-15
  • NAID: 110009550741
  • Peer Reviewed
• [Journal Article] Fixed point and ergodic theorems for$＼lambda$-hybrid mappingsin Hilbert spaces (2010)
  • Author(s): K.Aoyama, S.Iemoto, F.Kohsaka, W.Takahashi
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: 11 Pages: 335-343
  • Peer Reviewed
• [Journal Article] An iterative method for fixed point problems for sequences of nonexpansive mappings (2010)
  • Author(s): K.Aoyama
  • Journal Title: Proceedings of The 9th International Conference on Fixed Point Theory and its Applications Pages: 1-7
  • Peer Reviewed
• [Journal Article] An iterative method for a variational inequality problem over the common fixed point set of nonexpansive mappings (2010)
  • Author(s): K.Aoyama
  • Journal Title: Proceedings of the 6th International Conference on Nonlinear Analysis and Convex Analysis Pages: 21-28
  • Peer Reviewed
• [Journal Article] 縮小射影法と堅非拡大写像 (2010)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1685 Pages: 50-58
• [Journal Article] Shrinking projection methods for firmly non- expansive mappings (2009)
  • Author(s): K. Aoyama, F. Kohsaka and W. Takahashi
  • Journal Title: Nonlinear Analysis Se- ries A : Theory, Methods & Applications Volume: 71
  • Peer Reviewed
• [Journal Article] Strongly relatively nonexpansive sequences in Banach spaces and applications (2009)
  • Author(s): K. Aoyama, F. Kohsaka and W. Takahashi
  • Journal Title: Journal of Fixed Point Theory and Applications Volume: 5
  • Peer Reviewed
• [Journal Article] Three generalizations of firmly nonexpansive mappings : Their relations and continuity properties (2009)
  • Author(s): K. Aoyama, F. Kohsaka and W. Takahashi
  • Journal Title: Journal of Nonlinear and Convex Analysis Volume: 10
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for a family of mappings of type (P) and applications (2009)
  • Author(s): K. Aoyama, F. Kohsaka and W. Takahashi
  • Journal Title: Pro- ceedings of Asian Conference on Nonlinear Analysis and Optimization Volume: (Yokohama Publishers) Pages: 1-17
  • Peer Reviewed
• [Journal Article] Three generalizations of firmly nonexpansive mappings : Their relations and continuity properties (2009)
  • Author(s): 青山耕治, F.Kohsaka, 高橋渉
  • Journal Title: Journal of Nonlinear and Convex Analysis 10 Pages: 131-147
  • Peer Reviewed
• [Journal Article] Strong convergence theorems for a family of mappings of type (P) and applications (2009)
  • Author(s): 青山耕治, F.Kohsaka, 高橋渉
  • Journal Title: Proceedings of Asian Conference on Nonlinear Analysis and Optimization Pages: 1-17
  • Peer Reviewed
• [Journal Article] Strongly relatively nonexpansive sequences in Banach spaces and applications (2009)
  • Author(s): 青山耕治, F.Kohsaka, 高橋渉
  • Journal Title: Journal of Fixed Point Theory and Applications 5 Pages: 201-225
  • Peer Reviewed
• [Journal Article] Shrinking projection methods for firmly nonexpansive mappings (2009)
  • Author(s): 青山耕治, F.Kohsaka, 高橋渉
  • Journal Title: Nonlinear Analysis Series A : Theory, Methods & Applications 71
  • Peer Reviewed
• [Journal Article] 非拡大写像列に関する収束定理 (2009)
  • Author(s): 青山耕治, 高橋渉
  • Journal Title: 京都大学数理解析研究所講究録 1643 Pages: 87-93
• [Journal Article] 強非拡大写像列について (2009)
  • Author(s): 青山耕治
  • Journal Title: 京都大学数理解析研究所講究録 1667 Pages: 28-38
• [Presentation] Halpern型不動点近似アルゴリズムとハイブリッド最急降下法 (2013)
  • Author(s): 青山耕治
  • Organizer: 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
  • Year and Date: 2013-10-10
• [Presentation] Viscosity approximation meth- ods with a sequence of contractions (2013)
  • Author(s): K. Aoyama
  • Organizer: Interna- tional Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: National Sun Yat-sen Univer- sity, Kaohsiung, Taiwan
• [Presentation] Strong convergence theorems for strongly relatively nonexpansive sequences and applications (2013)
  • Author(s): K. Aoyama
  • Organizer: The eighth international conference on Nonlinear Analysis and Con- vex Analysis
  • Place of Presentation: Hirosaki University, Hirosaki, Aomori, JAPAN
• [Presentation] Strong convergence theorems for strongly relatively nonexpansive sequences and applications (2013)
  • Author(s): Koji Aoyama
  • Organizer: The eighth international conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Hirosaki University, Hirosaki, Aomori, JAPAN
• [Presentation] Viscosity approximation methods with a sequence of contractions (2013)
  • Author(s): Koji Aoyama
  • Organizer: International Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: National Sun Yat-sen University, Kaohsiung, Taiwan,
  • Invited
• [Presentation] 変分不等式問題とハイブリッド最急降下法 (2012)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2012年度年会
  • Place of Presentation: 東京理科大学
  • Year and Date: 2012-03-28
• [Presentation] Strong convergence theorems for strongly nonexpansive sequences in Hilbert spaces (2012)
  • Author(s): K. Aoyama
  • Organizer: The Third Asian Conference on Non- linear Analysis and Optimization
  • Place of Presentation: Kunibiki Messe, Matsue, Shimane, Japan
• [Presentation] Fixed point and mean conver- gence theorems for hybrid mappings (2012)
  • Author(s): K. Aoyama
  • Organizer: The 10th International Conference on Fixed Point Theory and its Applications
  • Place of Presentation: Babes-Bolyai University, Cluj-Napoca, Romania
• [Presentation] ハイブリッド写像の不動点定理と平均収束定理 (2011)
  • Author(s): 青山耕治
  • Organizer: 独立性と従属性の数理---代数と確率の出会い
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-12-21
• [Presentation] ある非線形写像の不動点定理と平均収束定理 (2011)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2011年度秋季総合分科会
  • Place of Presentation: 信州大学
  • Year and Date: 2011-09-28
• [Presentation] Halpern's iteration for a sequence of quasinonexpansive type mappings (2011)
  • Author(s): Koji Aoyama
  • Organizer: International Conference on Nonlinear Mathematics for Uncertainty and Its Applications
  • Place of Presentation: Beijing University of Technology (China)
  • Year and Date: 2011-09-08
• [Presentation] バナッハ空間における堅非拡大型写像の不動点の存在について (2011)
  • Author(s): 青山耕治
  • Organizer: 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
  • Year and Date: 2011-08-29
• [Presentation] On the hybrid steepest descent method (2011)
  • Author(s): Koji Aoyama
  • Organizer: The 7th International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Pukyong National University (Korea)
  • Year and Date: 2011-08-03
• [Presentation] ある堅非拡大型写像の族に関する収束定理 (2011)
  • Author(s): 青山耕治
  • Organizer: 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
  • Year and Date: 2011-02-16
• [Presentation] Halpern's iteration for a se- quence of quasinonexpansive type mappings (2011)
  • Author(s): K. Aoyama
  • Organizer: International Conference on Nonlinear Math- ematics for Uncertainty and Its Applications
  • Place of Presentation: Beijing University of Technology, Beijing, China
• [Presentation] On the hybrid steepest descent method (2011)
  • Author(s): K. Aoyama
  • Organizer: The 7th International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Pukyong National University, Busan, Repub- lic of Korea
• [Presentation] 擬非拡大写像列の共通不動点問題に関する収束定理 (2010)
  • Author(s): 青山耕治
  • Organizer: 独立性と従属性の数理---函数解析学の視点から
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2010-12-22
• [Presentation] 写像列の強非拡大性 (2010)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2010年度秋季総合分科会
  • Place of Presentation: 名古屋大学東山キャンパス
  • Year and Date: 2010-09-24
• [Presentation] 写像列の強非拡大性 (2010)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2010年度秋季総合分科会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2010-09-24
• [Presentation] Convergence theorems for relatively nonexpansive mappings in Banach spaces (2010)
  • Author(s): K.Aoyama
  • Organizer: The Second Asian Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: Royal Paradise Hotel & Spa(Thailand)
  • Year and Date: 2010-09-10
• [Presentation] 堅非拡大型写像について (2010)
  • Author(s): 青山耕治
  • Organizer: 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
  • Year and Date: 2010-08-30
• [Presentation] 零点問題と均衡問題 (2010)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2010年度年会
  • Place of Presentation: 慶應大学(神奈川県)
  • Year and Date: 2010-03-26
• [Presentation] Convergence theorems for rel- atively nonexpansive mappings in Banach spaces (2010)
  • Author(s): K. Aoyama
  • Organizer: The Second Asian Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: Royal Paradise Hotel & Spa, Patong beach, Phuket, Thailand
• [Presentation] Three generalizations of firmly nonexpansive mappings (2009)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2009年度秋季総合分科会
  • Place of Presentation: 大阪大学大学院理学研究科
  • Year and Date: 2009-09-24
• [Presentation] 縮小射影法と堅非拡大写像 (2009)
  • Author(s): 青山耕治
  • Organizer: 京都大学数理解析研究所研究集会:非線形解析学と凸解析学の研究
  • Place of Presentation: 京都大学(京都府)
  • Year and Date: 2009-09-24
• [Presentation] Three generalizations of firmly nonexpansive mappings (2009)
  • Author(s): 青山耕治
  • Organizer: 日本数学会2009年度秋季総合分科会
  • Place of Presentation: 大阪大学(大阪府)
  • Year and Date: 2009-09-24
• [Presentation] Approximation methods for a countable family of nonexpansive mappings (2009)
  • Author(s): 青山耕治
  • Organizer: The Third International Symposium on Banach and Function Spaces
  • Place of Presentation: 九州工業大学(福岡県)
  • Year and Date: 2009-09-15
• [Presentation] 縮小射影法と堅非拡大写像 (2009)
  • Author(s): 青山耕治
  • Organizer: 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
  • Year and Date: 2009-08-31
• [Presentation] 均衡問題に関する収束定理 (2009)
  • Author(s): 青山耕治
  • Organizer: 非加法性の数理と情報:凸解析との接点
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2009-08-06
• [Presentation] 均衡問題に関する収束定理 (2009)
  • Author(s): 青山耕治
  • Organizer: 京都大学数理解析研究所研究集会:非加法性の数理と情報:凸解析との接点
  • Place of Presentation: 京都大学(京都府)
  • Year and Date: 2009-08-06
• [Presentation] On a strongly nonexpansive sequence in Banach spaces (2009)
  • Author(s): 青山耕治
  • Organizer: The Ninth International Conference on Fixed Point Theory and Its Applications
  • Place of Presentation: National Changhua University of Education (Taiwan)
  • Year and Date: 2009-07-18
• [Presentation] 強非拡大写像列について (2009)
  • Author(s): 青山耕治
  • Organizer: バナッハ空間及び関数空間論における幾何学的構造の研究とその応用
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2009-05-20
• [Presentation] 強非拡大写像列について (2009)
  • Author(s): 青山耕治
  • Organizer: 京都大学数理解析研究所研究集会:バナッハ空間及び関数空間論における幾何学的構造の研究とその応用
  • Place of Presentation: 京都大学(京都府)
  • Year and Date: 2009-05-20
• [Presentation] Approximation methods for a countable family of nonexpansive mappings (2009)
  • Author(s): K. Aoyama
  • Organizer: The Third International Symposium on Ba- nach and Function Spaces
  • Place of Presentation: Kyushu Institute of Technology, Tobata Campus, Kitakyushu, Japan
• [Presentation] 逆強単調写像に関する変分不等式問題の求解法
  • Author(s): 青山耕治
  • Organizer: 日本数学会2014年度年会
  • Place of Presentation: 学習院大学(目白キャンパス)
• [Presentation] Fixed point and mean convergence theorems for hybrid mappings
  • Author(s): Koji Aoyama
  • Organizer: The 10th International Conference on Fixed Point Theory and its Applications
  • Place of Presentation: Babes-Bolyai University (Romania)
• [Presentation] Strong convergence theorems for strongly nonexpansive sequences in Hilbert spaces
  • Author(s): Koji Aoyama
  • Organizer: The Third Asian Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: Kunibiki Messe (Shimane)
• [Presentation] Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces
  • Author(s): Koji Aoyama
  • Organizer: International Conference on the Theory, Methods and Applications of Nonlinear Equations
  • Place of Presentation: Texas A&M University-Kingsville (USA)
• [Presentation] バナッハ空間における単調作用素に対する近接点法
  • Author(s): 青山耕治
  • Organizer: 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
• [Presentation] Strong convergence of an iterative sequence for maximal monotone operators in a Hilbert space
  • Author(s): 青山耕治
  • Organizer: 日本数学会2012年度秋季総合分科会
  • Place of Presentation: 九州大学(伊都キャンパス)
• [Presentation] 不動点集合上の変分不等式問題と不動点問題の求解法
  • Author(s): 青山耕治
  • Organizer: 函数解析学による一般化エントロピーの新展開
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] バナッハ空間におけるP型写像の不動点の存在について
  • Author(s): 青山耕治
  • Organizer: 日本数学会2013年度年会
  • Place of Presentation: 京都大学(吉田キャンパス)
• [Remarks]
  • URL: http://www.le.chiba-u.ac.jp/~aoyama/math/