WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS

被引：1

作者：

Kim, Seung-Hyun ^{[1
]}

Lee, Byung-Soo ^{[1
]}

机构：

[1] Kyungsung Univ, Dept Math, Busan 608736, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2014年 / 21卷 / 03期

关键词：

equilibrium problems; fixed point problems; asymptotically k-strictly pseudo-contractive mappings; hybrid iterative scheme;

D O I：

10.7468/jksmeb.2014.21.3.195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider, under a hybrid iterative scheme with errors, a weak convergence theorem to a common element of the set of a finite family of asymptotically k-strictly pseudo-contractive mappings and a solution set of an equilibrium problem for a given bifunction, which is the approximation version of the corresponding results of Kumam et al. [1].

引用

页码：195 / 206

页数：12

共 50 条

[21] Strong convergence of composite iterative methods for equilibrium problems and fixed point problems
Jung, Jong Soo
APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (02) : 498 - 505
[22] The Convergence Iterative Scheme for Quasi-variational Problems and Fixed Point Problems
Khongtham, Yaowaluck
WORLD CONGRESS ON ENGINEERING - WCE 2013, VOL I, 2013, : 247 - 251
[23] Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
Kangtunyakarn, Atid
Suantai, Suthep
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) : 296 - 309
[24] Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems
Wataru Takahashi
Ngai-Ching Wong
Jen-Chih Yao
Fixed Point Theory and Applications, 2012
[25] Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems
Takahashi, Wataru
Wong, Ngai-Ching
Yao, Jen-Chih
FIXED POINT THEORY AND APPLICATIONS, 2012,
[26] Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
Peng, Jian-Wen
Yao, Jen-Chih
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (9-10) : 1816 - 1828
[27] ON CONVERGENCE ANALYSIS OF AN ITERATIVE ALGORITHM FOR FINDING COMMON SOLUTION OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Sahu, D. R.
Wong, N. C.
Yao, J. C.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (03): : 625 - 649
[28] A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces
Zegeye, Habtu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 2136 - 2146
[29] An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems
Abdellah Bnouhachem
Suliman Al-Homidan
Qamrul Hasan Ansari
Fixed Point Theory and Applications, 2014
[30] An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems
Bnouhachem, Abdellah
Al-Homidan, Suliman
Ansari, Qamrul Hasan
FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 3 4 5 →