Please use this identifier to cite or link to this item: http://www.repository.rmutt.ac.th/xmlui/handle/123456789/409
Title: A Shrinking Projection Method for Generalized Mixed Equilibrium Problems, Variational Inclusion Problems and a Finite Family of Quasi-Nonexpansive Mappings
Authors: Kumam, Wiyada
Jaiboon, Chaichana
Kumam, Poom
Singta, Akarate
Keywords: STRICT PSEUDO-CONTRACTIONS; FIXED-POINT PROBLEMS; ITERATIVE ALGORITHMS; MONOTONE MAPPINGS; HILBERT-SPACES; INEQUALITIES; CONVERGENCE; THEOREM
Issue Date: 2010
Publisher: SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Citation: Web of Science Category: Mathematics, Applied; Mathematics
Abstract: 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.
Description: A Shrinking Projection Method for Generalized Mixed Equilibrium Problems, Variational Inclusion Problems and a Finite Family of Quasi-Nonexpansive Mappings
URI: http://www.repository.rmutt.ac.th/dspace/handle/123456789/409
ISSN: 1029-242X
Appears in Collections:บทความ (Article)

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