A strong convergence theorem of common elements in Hilbert spaces

被引：1

作者：

Chen, Zigao ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Henan, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

equilibrium problem; variational inequality; quasi-nonexpansive; inverse-strongly monotone mapping; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; APPROXIMATION; ALGORITHMS;

D O I：

10.1186/1687-1812-2013-59

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to investigate the convergence of an iterative process for equilibrium problems, fixed point problems and variational inequalities. Strong convergence of the purposed iterative process is obtained in the framework of Hilbert spaces. MSC: 47H05, 47H09, 47J25.

引用

页数：16

共 50 条

[21] A STRONG CONVERGENCE THEOREM FOR COUNTABLE FAMILIES OF NONLINEAR NONSELF MAPPINGS IN HILBERT SPACES AND APPLICATIONS
Kawasaki, Toshiharu
Takahashi, Wataru
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (04) : 543 - 560
[22] A Strong Convergence Theorem for an Iterative Method for Solving the Split Variational Inequalities in Hilbert Spaces
Thuy, Nguyen Thi Thu
VIETNAM JOURNAL OF MATHEMATICS, 2022, 50 (01) : 69 - 86
[23] A Strong Convergence Theorem for the Split Common Null Point Problem in Banach Spaces
Truong Minh Tuyen
APPLIED MATHEMATICS AND OPTIMIZATION, 2019, 79 (01): : 207 - 227
[24] Strong Convergence in Hilbert Spaces via Γ-Duality
M. Marques Alves
J. G. Melo
Journal of Optimization Theory and Applications, 2013, 158 : 343 - 362
[25] A Strong Convergence Theorem for the Split Common Null Point Problem in Banach Spaces
Truong Minh Tuyen
Applied Mathematics & Optimization, 2019, 79 : 207 - 227
[26] Strong Convergence for the Split Common Fixed Point Problems for Demicontractive Mappings in Hilbert Spaces
Kilicman, A.
Mohammed, B.
ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS, 2016, 1750
[27] Strong convergence theorem of an iterative method for variational inequalities and fixed point problems in Hilbert spaces
Nguyen Buong
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 322 - 329
[28] Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces
张石生
饶若峰
黄家琳
AppliedMathematicsandMechanics(EnglishEdition), 2009, 30 (06) : 685 - 694
[29] Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces
Zhang, Shi-sheng
Rao, Ruo-feng
Huang, Jia-lin
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 30 (06) : 685 - 694
[30] Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces
Shi-sheng Zhang
Ruo-feng Rao
Jia-lin Huang
Applied Mathematics and Mechanics, 2009, 30 : 685 - 694

← 1 2 3 4 5 →