Abstract
In this paper, we introduce some new iterative schemes based on the extragradient method (and the hybrid method) for finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a family of nonexpansive mappings, and the set of solutions of the variational inequality for a monotone, Lipschitz continuous mapping in Hilbert spaces. We obtain some strong convergence theorems and weak convergence theorems. The results in this paper generalize, improve and unify some well-known convergence theorems in the literature.
Citation
Jian-Wen Peng. Ngai-Ching Wong. "Some Modified Extragradient Methods for Common Solutions of Generalized Equilibrium Problems and Fixed Points of Nonexpansive Mappings." Taiwanese J. Math. 15 (1) 353 - 363, 2011. https://doi.org/10.11650/twjm/1500406179
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