Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings
Joint Authors
Katchang, Phayap
Humphries, Usa
Kumam, Poom
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-11
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
We introduce a new iterative scheme by shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of variational inclusion problems with set-valued maximal monotone mappings and inverse-strongly monotone mappings, the set of solutions of fixed points for nonexpansive semigroups, and the set of common fixed points for an infinite family of strictly pseudocontractive mappings in a real Hilbert space.
We prove that the sequence converges strongly to a common element of the above four sets under some mind conditions.
Furthermore, by using the above result, an iterative algorithm for solution of an optimization problem was obtained.
Our results improve and extend the corresponding results of Martinez-Yanes and Xu (2006), Shehu (2011), Zhang et al.
(2008), and many authors.
American Psychological Association (APA)
Kumam, Poom& Humphries, Usa& Katchang, Phayap. 2011. Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-511101
Modern Language Association (MLA)
Kumam, Poom…[et al.]. Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics No. 2011 (2011), pp.1-28.
https://search.emarefa.net/detail/BIM-511101
American Medical Association (AMA)
Kumam, Poom& Humphries, Usa& Katchang, Phayap. Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-511101
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511101