FIRMLY NONEXPANSIVE MAPPINGS

被引:0
作者
Ariza-Ruiz, David [1 ]
Lopez-Acedo, Genaro [1 ]
Martin-Marquez, Victoria [1 ]
机构
[1] Univ Seville, Fac Math, Dept Anal Matemat, E-41080 Seville, Spain
关键词
Firmly nonexpansive mapping; resolvent; geodesic space; uniform convexity; fixed point; Delta-convergence; Picard iterates; asymptotic regularity; MONOTONE VECTOR-FIELDS; NON-LINEAR SEMIGROUPS; FIXED-POINTS; ASYMPTOTIC-BEHAVIOR; CONVERGENCE THEOREMS; NONLINEAR OPERATORS; COACCRETIVE OPERATORS; CONVEX FUNCTIONALS; WEAK-CONVERGENCE; APPROXIMATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Firmly nonexpansive mappings play an important role in nonlinear analysis due to their correspondence with maximal monotone operators. The purpose of this work is twofold: to gather the most significant steps in the development of the theory of firmly nonexpansive mappings, and at the same time, to show the great influence of Reich's works in this direction.
引用
收藏
页码:61 / 87
页数:27
相关论文
共 50 条
  • [31] NOTES ON BROWDER'S AND HALPERN'S METHODS FOR NONEXPANSIVE MAPPINGS
    Cui, Yan-Lan
    Liu, Xia
    FIXED POINT THEORY, 2009, 10 (01): : 89 - 98
  • [32] Strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach spaces
    Chen, Jia-wei
    Wan, Zhongping
    Zou, Yunzhi
    OPTIMIZATION, 2013, 62 (04) : 483 - 497
  • [33] SHRINKING PROJECTION ALGORITHM FOR FIXED POINTS OF FIRMLY NONEXPANSIVE MAPPINGS AND ITS APPLICATIONS
    Kang, Jinlong
    Su, Yongfu
    Zhang, Xin
    FIXED POINT THEORY, 2010, 11 (02): : 301 - 310
  • [34] EXISTENCE AND APPROXIMATION OF FIXED POINTS OF FIRMLY NONEXPANSIVE-TYPE MAPPINGS IN BANACH SPACES
    Kohsaka, Fumiaki
    Takahashi, Wataru
    SIAM JOURNAL ON OPTIMIZATION, 2008, 19 (02) : 824 - 835
  • [35] Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings
    Kohsaka, Fumiaki
    Takahashi, Wataru
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 760 - 765
  • [36] Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds
    Lopez, Genaro
    Martin-Marquez, Victoria
    FIXED-POINT ALGORITHMS FOR INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 49 : 273 - 299
  • [37] Unification of some iterative and proximal like methods for asymptotically nonexpansive and quasi-nonexpansive mappings
    Khatibzadeh, Hadi
    Pouladi, Hadi
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (04) : 1326 - 1346
  • [38] On generalized quasi-φ-nonexpansive mappings and their projection algorithms
    Hao, Yan
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [39] New Demiclosedness Principles for (Firmly) Nonexpansive Operators
    Bauschke, Heinz H.
    COMPUTATIONAL AND ANALYTICAL MATHEMATICS: IN HONOR OF JONATHAN BORWEIN'S 60TH BIRTHDAY, 2013, 50 : 19 - 28
  • [40] AN ITERATIVE METHOD FOR A FAMILY OF NONEXPANSIVE MAPPINGS
    Razani, Abdolrahman
    Yazdi, Maryam
    MATHEMATICAL REPORTS, 2014, 16 (01): : 7 - 23