Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space

被引：0
|
作者：
Siwaporn Saewan
机构：
[1] Thaksin University (TSU),Department of Mathematics and Statistics, Faculty of Science
[2] ,undefined
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
total quasi-; -asymptotically nonexpansive multi-valued mappings; hybrid scheme; equilibrium problem; variational inequality problems; inverse-strongly monotone operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove strong convergence theorems to a point which is a fixed point of multi-valued mappings, a zero of an α-inverse-strongly monotone operator and a solution of the equilibrium problem. Next, we obtain strong convergence theorems to a solution of the variational inequality problem, a fixed point of multi-valued mappings and a solution of the equilibrium problem. The results presented in this paper are improvement and generalization of the previously known results.
引用
收藏
相关论文
共 50 条
  • [1] Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space
    Saewan, Siwaporn
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [2] A Strong Convergence Theorem for a Family of Quasi-φ-Nonexpansive Mappings in a Banach Space
    Zhou, Haiyun
    Gao, Xinghui
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [3] Strong Convergence for a Countable Family of Total Quasi-φ-asymptotically Nonexpansive Nonself Mappings in Banach Space
    WANG XIONG-RUI
    QUAN JING
    Ji You-qing
    [J]. Communications in Mathematical Research, 2015, 31 (01) : 31 - 39
  • [4] Strong convergence theorem for quasi-φ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
    Ma, Zhaoli
    Wang, Lin
    Chang, Shih-sen
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] Strong convergence theorem for quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
    Zhaoli Ma
    Lin Wang
    Shih-sen Chang
    [J]. Journal of Inequalities and Applications, 2013
  • [6] Strong Convergence Theorems for Two Total Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces
    He, Xi-bing
    Hui, Xiao-jian
    Xing, Hui
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [7] Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces
    Jing Quan
    Shih-sen Chang
    Xiongrui Wang
    [J]. Fixed Point Theory and Applications, 2012
  • [8] Strong convergence for total quasi-φ-asymptotically nonexpansive semigroups in Banach spaces
    Quan, Jing
    Chang, Shih-sen
    Wang, Xiongrui
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [9] A strong convergence theorem for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings
    Zhao, Juan
    Ji, Tieguo
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [10] A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
    Juan Zhao
    Tieguo Ji
    [J]. Fixed Point Theory and Applications, 2013
12345