Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems

被引：10

作者：

Kangtunyakarn, Atid ^{[1
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Fac Sci, Bangkok 10520, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

nonexpansive mapping; strict pseudo contraction; strongly positive operator; variational inclusion problem; fixed point; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; HILBERT-SPACES; BANACH-SPACES; INEQUALITIES;

D O I：

10.1186/1687-1812-2011-38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.

引用

页数：16

共 50 条

[21] Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
Panisa Lohawech
Anchalee Kaewcharoen
Ali Farajzadeh
Journal of Inequalities and Applications, 2018
[22] Algorithms for finding a common element of the set of common fixed points for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
Wen, Meng
Hu, Changsong
Cui, Angang
Peng, Jigen
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (04)
[23] Algorithms for finding a common element of the set of common fixed points for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
Meng Wen
Changsong Hu
Angang Cui
Jigen Peng
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[24] A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed-Point Problems, and Variational Inequalities
Peng, Jian-Wen
Wu, Soon-Yi
Yao, Jen-Chih
ABSTRACT AND APPLIED ANALYSIS, 2010,
[25] Iterative algorithms for monotone inclusion problems, fixed point problems and minimization problems
Jung, Jong Soo
FIXED POINT THEORY AND APPLICATIONS, 2013,
[26] Iterative algorithms for monotone inclusion problems, fixed point problems and minimization problems
Jong Soo Jung
Fixed Point Theory and Applications, 2013
[27] An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping
Zegeye, H.
Shahzad, N.
APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 225 - 234
[28] Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings
Kangtunyakarn, Atid
FIXED POINT THEORY AND APPLICATIONS, 2010,
[29] Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings
Atid Kangtunyakarn
Fixed Point Theory and Applications, 2010
[30] A general iterative algorithm for common solutions of quasi variational inclusion and fixed point problems
Meng, Xiangsong
Cho, Sun Young
Qin, Xiaolong
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4137 - 4147

← 1 2 3 4 5 →