A HYBRID ALGORITHM WITH MEIR-KEELER CONTRACTION FOR THE COMMON FIXED POINT PROBLEM AND THE EQUILIBRIUM PROBLEM

被引：0

作者：

Ma, Xing ^{[1
]}

Zhu, Lijun ^{[2
]}

Mu, Chunyang ^{[1
]}

机构：

[1] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China

[2] North Minzu Univ, Hlth Big Data Res Inst, Adv Intelligent Percept & Control Technol Inovat, Yinchuan 750021, Ningxia, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 01期

关键词：

Equilibrium problem; fixed point; pseudocontractive operator; Meir-Keeler contraction; projection; STRONG-CONVERGENCE THEOREMS; VARIATIONAL-INEQUALITIES; ITERATIVE ALGORITHMS; PROJECTION METHOD; OPERATORS; MAPPINGS; APPROXIMATIONS; MONOTONE; SYSTEMS;

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 investigate the common fixed point problem and the equilibrium problem in Hilbert spaces. We suggest a hybrid iterative algorithm with Meir-Keeler contraction for finding a solution of the common fixed point problem and the equilibrium problem. We show the strong convergence of the proposed method under some mild assumptions.

引用

页码：25 / 35

页数：11

共 30 条

[1] On the resolution of misspecified convex optimization and monotone variational inequality problems
Ahmadi, Hesam
Shanbhag, Uday V.
[J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 77 (01) : 125 - 161
[2] Optimization Tools for Solving Equilibrium Problems with Nonsmooth Data
Bigi, Giancarlo
Pappalardo, Massimo
Passacantando, Mauro
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 171 (03) : 887 - 905
[3] On descent alternating direction method with LQP regularization for the structured variational inequalities
Bnouhachem, Abdellah
Rassias, Themistocles M.
[J]. OPTIMIZATION LETTERS, 2020, 14 (06) : 1353 - 1369
[4] SYSTEMS OF VARIATIONAL INEQUALITIES WITH HIERARCHICAL VARIATIONAL INEQUALITY CONSTRAINTS FOR LIPSCHITZIAN PSEUDOCONTRACTIONS
Ceng, Lu-Chuan
Petrusel, Adrian
Yao, Jen-Chih
Yao, Yonghong
[J]. FIXED POINT THEORY, 2019, 20 (01): : 113 - 133
[5] HYBRID VISCOSITY EXTRAGRADIENT METHOD FOR SYSTEMS OF VARIATIONAL INEQUALITIES, FIXED POINTS OF NONEXPANSIVE MAPPINGS, ZERO POINTS OF ACCRETIVE OPERATORS IN BANACH SPACES
Ceng, Lu-Chuan
Petrusel, Adrian
Yao, Jen-Chih
Yao, Yonghong
[J]. FIXED POINT THEORY, 2018, 19 (02): : 487 - +
[6] Cho SY, 2018, J NONLINEAR CONVEX A, V19, P251
[7] Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117
[8] Extragradient Methods for Solving Equilibrium Problems, Variational Inequalities, and Fixed Point Problems
Jouymandi, Zeynab
Moradlou, Fridoun
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (11) : 1391 - 1409
[9] Modified hybrid iterative methods for generalized mixed equilibrium, variational inequality and fixed point problems
Jung, Jong Soo
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3732 - 3754
[10] A THEOREM ON CONTRACTION MAPPINGS
MEIR, A
KEELER, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 28 (02) : 326 - &

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