A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-35, 35 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-03
Country of Publication
Egypt
No. of Pages
35
Main Subjects
Abstract EN
We introduce an iterative algorithm for finding a common element of the set of solutions of a system of mixed equilibrium problems, the set of solutions of a general system of variational inequalities for Lipschitz continuous and relaxed cocoercive mappings, the set of common fixed points for nonexpansive semigroups, and the set of common fixed points for an infinite family of strictly pseudocontractive mappings in Hilbert spaces.
Furthermore, we prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm under some suitable conditions which solves some optimization problems.
Our results extend and improve the recent results of Chang et al.
(2010) and many others.
American Psychological Association (APA)
Kumam, Poom& Katchang, Phayap. 2012. A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-35.
https://search.emarefa.net/detail/BIM-993237
Modern Language Association (MLA)
Kumam, Poom& Katchang, Phayap. A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics No. 2012 (2012), pp.1-35.
https://search.emarefa.net/detail/BIM-993237
American Medical Association (AMA)
Kumam, Poom& Katchang, Phayap. A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-35.
https://search.emarefa.net/detail/BIM-993237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993237