Existence and Iterative Approximation Methods for Generalized Mixed Vector Equilibrium Problems with Relaxed Monotone Mappings

Autor:	Rabian Wangkeeree, Panu Yimmuang
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2013 (2013)
Druh dokumentu:	article
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2013/973408
Popis:	We first consider an auxiliary problem for the generalized mixed vector equilibrium problem with a relaxed monotone mapping and prove the existence and uniqueness of the solution for the auxiliary problem. We then introduce a new iterative scheme for approximating a common element of the set of solutions of a generalized mixed vector equilibrium problem with a relaxed monotone mapping and the set of common fixed points of a countable family of nonexpansive mappings. The results presented in this paper can be considered as a generalization of some known results due to Wang et al. (2010).
Databáze:	Directory of Open Access Journals
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