A System of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Pseudocontractive Mappings in Hilbert Spaces

被引：9

作者：

Kumam, Poom ^{[2
]}

Jaiboon, Chaichana ^{[1
]}

机构：

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

[2] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

STRICT PSEUDO-CONTRACTIONS; VARIATIONAL INEQUALITY PROBLEMS; VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE THEOREMS; ITERATIVE METHOD; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; MONOTONE MAPPINGS; WEAK; EQUATIONS;

D O I：

10.1155/2010/361512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of a system of generalized mixed equilibrium problems, and the set of common solutions of the variational inequalities with inverse-strongly monotone mappings in Hilbert spaces. Furthermore, we prove new strong convergence theorems for a new iterative algorithm under some mild conditions. Finally, we also apply our results for solving convex feasibility problems in Hilbert spaces. The results obtained in this paper improve and extend the corresponding results announced by Qin and Kang (2010) and the previously known results in this area.

引用

页数：33

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