Strong convergence theorems for equilibrium problems and quasi-φ-asymptotically nonexpansive mappings in Banach spaces

被引：0

作者：

Zhao, Jing ^{[1
]}

He, Songnian

机构：

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

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2011年 / 19卷 / 01期

关键词：

Equilibrium problem; Quasi-phi-asymptotically nonexpansive mapping; Fixed point; Strong convergence; Banach space; FIXED-POINT PROBLEMS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two modified Mann-type iterative algorithms for finding a common element of the set of common fixed points of a family of quasi-phi-asymptotically nonexpansive mappings and the set of solutions of an equilibrium problem in Banach spaces. Then we study the strong convergence of the algorithms. Our results improve and extend the corresponding results announced by many others.

引用

下载

页码：347 / 364

页数：18

共 50 条

[31] Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space
Saewan, Siwaporn
FIXED POINT THEORY AND APPLICATIONS, 2013,
[32] Convergence theorems for uniformly quasi-φ-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities
Saewan, Siwaporn
Kumam, Poom
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[33] Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space
Siwaporn Saewan
Fixed Point Theory and Applications, 2013
[34] Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
Jae Ug Jeong
Fixed Point Theory and Applications, 2014
[35] Strong convergence theorems for a countable family of quasi-φ-asymptotically nonexpansive nonself mappings
Chang, Shih-sen
Wang, Lin
Tang, Yong-Kun
Wang, Bin
Qin, Li-Juan
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (15) : 7864 - 7870
[36] STRONG CONVERGENCE OF PROJECTION METHODS FOR BREGMAN ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND EQUILIBRIUM PROBLEMS IN BANACH SPACES
Naraghirad, Eskandar
Takahashi, Wataru
Yao, Jen-Chih
PACIFIC JOURNAL OF OPTIMIZATION, 2014, 10 (02): : 321 - 342
[37] Convergence theorems for equilibrium problem and asymptotically quasi-φ-nonexpansive mappings in the intermediate sense
Jeong, Jae Ug
FIXED POINT THEORY AND APPLICATIONS, 2014,
[38] CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Su, Yongfu
Qin, Xiaolong
Shang, Meijuan
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2008, 77 (01): : 31 - 42
[39] Strong Convergence Theorems for Countable Families of Uniformly Quasi-φ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems
Saewan, Siwaporn
Kumam, Poom
ABSTRACT AND APPLIED ANALYSIS, 2011,
[40] Strong convergence theorems by hybrid methods for nonexpansive mappings with equilibrium problems in Banach spaces
Takahashi, Wataru
Yao, Jen-Chih
ADVANCES IN MATHEMATICAL ECONOMICS, VOL 14, 2011, 14 : 197 - +

← 1 2 3 4 5 →