Convergence of iterative sequences for fixed points of an infinite family of nonexpansive mappings based on a hybrid steepest descent methods

Journal of inequalities and applications

Nawitcha Onjai-uea¹ 

关键词: nonexpansive mappings;    system equilibrium problem;    variational inequality problem;    hybrid steepest descent method;   

DOI  :  10.1186/1029-242X-2012-101

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The propose of this article is to consider the strong convergence of an iterative sequences for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequalities for inverse strongly monotone mappings, and the set of solutions of system of equilibrium problems in Hilbert spaces by using a hybrid steepest descent methods. Our results improve and generalize many known corresponding results. AMS (2000) Subject Classification: 46C05; 47H09; 47H10.

【 授权许可】

CC BY