A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi-φ-asymptotically nonexpansive mappings in Banach spaces

被引：12

作者：

Zhao, Jing ^{[1
]}

He, Songnian ^{[1
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

equilibrium problem; generalized quasi-phi-asymptotically nonexpansive mapping; strong convergence; common fixed point; Banach space; STRONG-CONVERGENCE; THEOREMS; WEAK;

D O I：

10.1186/1687-1812-2012-33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed generalized quasi-I center dot-asymptotically nonexpansive mappings and the set of solutions of equilibrium problem in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others. Mathematics Subject Classification (2000): 47H09; 47H10; 47J05; 54H25.

引用

页数：11

共 50 条

[41] Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
Khan, Abdul Rahim
Domlo, Abdul-Aziz
Fukhar-ud-din, Hafiz
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 1 - 11
[42] Some results on asymptotically quasi-φ-nonexpansive mappings in the intermediate sense and equilibrium problems
Huang, Chunyan
Ma, Xiaoyan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[43] Some results on asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense and equilibrium problems
Chunyan Huang
Xiaoyan Ma
Journal of Inequalities and Applications, 2014
[44] Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces
Saluja, G. S.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 6 (01): : 89 - 96
[45] Approximation of the Nearest Common Fixed Point of Asymptotically Nonexpansive Mappings in Banach Spaces
Wang Xiong-rui(Department of Mathematics
Communications in Mathematical Research, 2011, 27 (04) : 369 - 377
[46] On a Hybrid Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of a Family of Quasi-[inline-graphic not available: see fulltext]-Asymptotically Nonexpansive Mappings in Banach Spaces
Min Liu
Shih-sen Chang
Ping Zuo
Fixed Point Theory and Applications, 2010
[47] Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
Woldeamanuel S.T.
Sangago M.G.
Hailu H.Z.
Afrika Matematika, 2016, 27 (5-6) : 949 - 961
[48] On Common Fixed Point of Nonself Nonexpansive Mappings for Multistep Iteration in Banach Spaces
Kiziltunc, H.
Yildirim, I.
THAI JOURNAL OF MATHEMATICS, 2008, 6 (02): : 343 - 349
[49] 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
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 379 - 405
[50] Modified block iterative algorithm for Quasi-φ-asymptotically nonexpansive mappings and equilibrium problem in banach spaces
Chang, Shih-sen
Chan, Chi Kin
Lee, H. W. Joseph
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) : 7520 - 7530

← 1 2 3 4 5 →