A Shrinking Projection Method for Generalized Mixed Equilibrium Problems, Variational Inclusion Problems and a Finite Family of Quasi-Nonexpansive Mappings

Autor:	Wiyada Kumam, Chaichana Jaiboon, Poom Kumam, Akarate Singta
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2010 (2010)
Druh dokumentu:	article
ISSN:	1025-5834 1029-242X
DOI:	10.1155/2010/458247
Popis:	The purpose of this paper is to consider a shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a finite family of quasi-nonexpansive mappings, and the set of solutions of variational inclusion problems. Then, we prove a strong convergence theorem of the iterative sequence generated by the shrinking projection method under some suitable conditions in a real Hilbert space. Our results improve and extend recent results announced by Peng et al. (2008), Takahashi et al. (2008), S.Takahashi and W. Takahashi (2008), and many others.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/42f774eb72f74d169ed01234ee27f5c7 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF