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Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We propose new iterative schemes for finding the common element of the set of common fixed points of countable family of nonexpansive mappings, the set of solutions of the variational inequality problem for relaxed cocoercive and Lipschitz continuous, the set of solutions of system of variational inclusions problem, and the set of solutions of equilibrium problems in a real Hilbert space by using the viscosity approximation method.
We prove strong convergence theorem under some parameters.
The results in this paper unify and generalize some well-known results in the literature.
American Psychological Association (APA)
Jaiboon, Chaichana& Kumam, Poom. 2012. Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-993728
Modern Language Association (MLA)
Jaiboon, Chaichana& Kumam, Poom. Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-993728
American Medical Association (AMA)
Jaiboon, Chaichana& Kumam, Poom. Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-993728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993728