The Hybrid Steepest Descent Method for Addressing Fixed Point Problems and System of Equilibrium Problems

被引：0

作者：

Jaiboon, Chaichana. ^{[1
]}

机构：

[1] Rajamangala Univ Technol Rattanakosin RMUTR, Fac Liberal Arts, Dept Math, Bangkok 10100, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

关键词：

Nonexpansive mapping; Variational inequality; Fixed points; System of equilibrium problems; hybrid steepest descent method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we suggest and analyze an iterative scheme based on the hybrid steepest descent method for finding a common element of the set of solutions of a system of equilibrium problems, the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problems for inverse strongly monotone mappings in Hilbert spaces. We obtain a strong convergence theorem for the sequence generate by these processes in Hilbert spaces. The results in this paper improve and extend the corresponding results given by many others.

引用

页码：275 / 292

页数：18

共 50 条

[1] The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory
Micha O Osilike
Eric U Ofoedu
Felix U Attah
[J]. Fixed Point Theory and Applications, 2014
[2] The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory
Osilike, Micha O.
Ofoedu, Eric U.
Attah, Felix U.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[3] A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems
Nawitcha Onjai-uea
Chaichana Jaiboon
Poom Kumam
[J]. Fixed Point Theory and Applications, 2011
[4] A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems
Onjai-uea, Nawitcha
Jaiboon, Chaichana
Kumam, Poom
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[5] A New Modified Hybrid Steepest-Descent by Using a Viscosity Approximation Method with a Weakly Contractive Mapping for a System of Equilibrium Problems and Fixed Point Problems with Minimization Problems
Witthayarat, Uamporn
Jitpeera, Thanyarat
Kumam, Poom
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] A Viscosity Hybrid Steepest Descent Method for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems of Infinite Family of Strictly Pseudocontractive Mappings and Nonexpansive Semigroup
Che, Haitao
Pan, Xintian
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[7] A viscosity hybrid steepest-descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo-contractive mappings
Uamporn Witthayarat
Jong Kyu Kim
Poom Kumam
[J]. Journal of Inequalities and Applications, 2012
[8] A viscosity hybrid steepest-descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo-contractive mappings
Witthayarat, Uamporn
Kim, Jong Kyu
Kumam, Poom
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[9] Extension of the hybrid steepest descent method to a class of variational inequalities and fixed point problems with nonself-mappings
Mainge, Paul-Emile
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 820 - 834
[10] AN ITERATIVE METHOD FOR A SYSTEM OF EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Latif, Abdul
Eslamian, Mohammad
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (06) : 1425 - 1437

← 1 2 3 4 5 →