An Iterative Method for Generalized Equilibrium Problems, Fixed Point Problems and Variational Inequality Problems

被引：0
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作者：
Qing-you Liu
Wei-you Zeng
Nan-jing Huang
机构：
[1] Southwest Petroleum University,State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation
[2] Sichuan University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2009卷
关键词：
Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Iterative Scheme; Maximal Monotone;
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摘要：
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of the variational inequality for [inline-graphic not available: see fulltext]-inverse-strongly monotone mappings in Hilbert spaces. We give some strong-convergence theorems under mild assumptions on parameters. The results presented in this paper improve and generalize the main result of Yao et al. (2007).
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