Strong convergence theorems for fixed points of asymptotically strict quasi-φ-pseudocontractions

被引：0
|
作者：
Zhang, Qing-Nian [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
asymptotically strict quasi-phi-pseudocontraction; fixed point; quasi-phi-nonexpansive mapping; relatively asymptotically nonexpansive mapping; relatively nonexpansive mapping; RELATIVELY NONEXPANSIVE-MAPPINGS; PSEUDO-CONTRACTIONS; PROJECTION ALGORITHMS; APPROXIMATION; SEMIGROUPS; FAMILY; WEAK;
D O I：
10.1186/1687-1812-2012-137
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the fixed point problem of asymptotically strict quasi-phi-pseudocontractions is investigated based on hybrid projection algorithms. Strong convergence theorems of fixed points are established in a reflexive, strictly convex, and smooth Banach space such that both E and E* have the Kadec-Klee property. MSC: 47H09; 47J25
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Strong convergence theorems for fixed points of asymptotically strict quasi-ϕ-pseudocontractions
    Qing-Nian Zhang
    Fixed Point Theory and Applications, 2012
  • [2] Some results on fixed points of asymptotically strict quasi-φ-pseudocontractions in the intermediate sense
    Qin, Xiaolong
    Wang, Lin
    Kang, Shin Min
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [3] Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-φ-Pseudocontractions
    Deng, Wei-Qi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [4] Some results on fixed points of asymptotically strict quasi-ϕ-pseudocontractions in the intermediate sense
    Xiaolong Qin
    Lin Wang
    Shin Min Kang
    Fixed Point Theory and Applications, 2012
  • [5] Hybrid Projection Algorithms for Asymptotically Strict Quasi-φ-Pseudocontractions
    Qin, Xiaolong
    Wang, Tianze
    Cho, Sun Young
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [6] A strong convergence theorem for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings
    Zhao, Juan
    Ji, Tieguo
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [7] Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense
    Duan, Peichao
    Zhao, Jing
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [8] A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
    Juan Zhao
    Tieguo Ji
    Fixed Point Theory and Applications, 2013
  • [9] Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions
    Qin, Xiaolong
    Cho, Yeol Je
    Kang, Shin Min
    Zhou, Haiyun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 685 - 690
  • [10] Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense
    Peichao Duan
    Jing Zhao
    Fixed Point Theory and Applications, 2011
12345