Strong Convergence Theorems for a Generalized Equilibrium Problem with a Relaxed Monotone Mapping and a Countable Family of Nonexpansive Mappings in a Hilbert Space

被引：0
|
作者：
Shenghua Wang
Giuseppe Marino
Fuhai Wang
机构：
[1] North China Electric Power University,School of Applied Mathematics and Physics
[2] Universitá della Calabria,Dipartimento di Matematica
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Hilbert Space; Variational Inequality; Iterative Method; Equilibrium Problem; Monotone Mapping;
D O I：
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学科分类号：
摘要：
We introduce a new iterative method for finding a common element of the set of solutions of a generalized equilibrium problem with a relaxed monotone mapping and the set of common fixed points of a countable family of nonexpansive mappings in a Hilbert space and then prove that the sequence converges strongly to a common element of the two sets. Using this result, we prove several new strong convergence theorems in fixed point problems, variational inequalities, and equilibrium problems.
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