Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

被引：2

作者：

Zhang, Shi-sheng ^{[1
]}

Rao, Ruo-feng ^{[1
]}

Huang, Jia-lin ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan Prov, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 06期

关键词：

k-strict pseudocontractive mapping; equilibrium problem; alpha-inverse-strongly monotone mapping; variational inequality; MAPPINGS; WEAK;

D O I：

10.1007/s10483-009-0602-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to study a new iterative algorithm for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in the Hilbert space. The presented results extend and improve the corresponding results reported in the literature.

引用

页码：685 / 694

页数：10

共 50 条

[41] Weak convergence theorem for Lipschizian pseudocontraction semigroups in Banach spaces
Shi Sheng Zhang
[J]. Acta Mathematica Sinica, English Series, 2010, 26 : 337 - 344
[42] Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces
Shi-Xiu Li
Lu-Chuan Ceng
Hui-Ying Hu
Xiao-Jie Wang
[J]. Fixed Point Theory and Applications, 2014
[43] Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces
Li, Shi-Xiu
Ceng, Lu-Chuan
Hu, Hui-Ying
Wang, Xiao-Jie
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[44] Strong Convergence Theorems for a Common Fixed Point of a Family of Asymptotically k-Strict Pseudocontractive Mappings
Zegeye, H.
Shahzad, N.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[45] Weak convergence theorem for Lipschitzian pseudocontraction semigroups in Banach spaces
Duong Viet Thong
[J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (02): : 1 - 6
[46] STRONG CONVERGENCE THEOREMS BY GENERALIZED CQ METHOD IN HILBERT SPACES
He, Songnian
Shi, Tian
[J]. FIXED POINT THEORY, 2011, 12 (02): : 355 - 382
[47] Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Marino, Giuseppe
Xu, Hong-Kun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 336 - 346
[48] STRONG CONVERGENCE THEOREM FOR SPLIT COMMON FIXED POINT PROBLEM AND HIERARCHICAL VARIATIONAL INEQUALITY PROBLEM IN HILBERT SPACES
Takahashi, Wataru
Wen, Ching-Feng
Yao, Jen-Chih
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 251 - 273
[49] Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces
Cheng, Qingqing
Su, Yongfu
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1433 - 1455
[50] Weak Convergence Theorem for Lipschizian Pseudocontraction Semigroups in Banach Spaces
Shi Sheng ZHANG Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (02) : 337 - 344

← 1 2 3 4 5 →