A NEW ALGORITHM FOR SOLVING MIXED EQUILIBRIUM PROBLEM AND FINDING COMMON FIXED POINTS OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS

被引：1
|
作者：
Biranvand, Nader [1 ]
Darvish, Vahid [1 ]
机构：
[1] Imam Ali Univ, Fac Sci, Tehran, Iran
来源：
KOREAN JOURNAL OF MATHEMATICS | 2018年 / 26卷 / 04期
关键词：
Banach space; Bregman projection; Bregman distance; Bregman strongly nonexpansive mapping; fixed point; mixed equilibrium problem;
D O I：
10.11568/kjm.2018.26.4.777
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.
引用
收藏
页码：777 / 798
页数：22
相关论文
共 50 条
  • [41] Common fixed points of jointly asymptotically nonexpansive mappings
    Abbas, M.
    Khan, S. H.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2011, 35 (A3): : 209 - 216
  • [42] Approximation of common fixed points of families of nonexpansive mappings
    Ceng, L. C.
    Cubiotti, P.
    Yao, J. C.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (02): : 487 - 500
  • [43] COMMON FIXED POINTS OF GENERALIZED ALMOST NONEXPANSIVE MAPPINGS
    Abbas, Mujahid
    Ilic, Dejan
    [J]. FILOMAT, 2010, 24 (03) : 11 - 18
  • [44] APPROXIMATING COMMON ELEMENTS OF FIXED POINTS OF BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SOLUTIONS OF A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS IN REFLEXIVE BANACH SPACES
    Nguyen Trung Hieu
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 379 - 405
  • [45] An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings
    Sahebi, H. R.
    Razani, A.
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2016, 11 (01): : 69 - 83
  • [46] Approximating Fixed Points for Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces
    Cholamjiak, L.
    Suantai, S.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 49 - 58
  • [47] A New Approximation Method for Solving Variational Inequalities and Fixed Points of Nonexpansive Mappings
    Chakkrid Klin-eam
    Suthep Suantai
    [J]. Journal of Inequalities and Applications, 2009
  • [48] Solution of generalized mixed equilibrium and common fixed point problems for Bregman demigeneralized mappings
    Ali, B.
    Ugwunnadi, G. C.
    Lawan, M. S.
    Darvish, V.
    [J]. JOURNAL OF ANALYSIS, 2023, 31 (03): : 2203 - 2224
  • [49] A New Approximation Method for Solving Variational Inequalities and Fixed Points of Nonexpansive Mappings
    Klin-eam, Chakkrid
    Suantai, Suthep
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [50] Solution of generalized mixed equilibrium and common fixed point problems for Bregman demigeneralized mappings
    B. Ali
    G. C. Ugwunnadi
    M. S. Lawan
    V. Darvish
    [J]. The Journal of Analysis, 2023, 31 : 2203 - 2224
12345