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Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces
Joint Authors
Cholamjiak, Prasit
Suantai, Suthep
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces.
We prove the strong convergence theorem by the shrinking projection method.
In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space.
American Psychological Association (APA)
Cholamjiak, Prasit& Suantai, Suthep. 2010. Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-449025
Modern Language Association (MLA)
Cholamjiak, Prasit& Suantai, Suthep. Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-449025
American Medical Association (AMA)
Cholamjiak, Prasit& Suantai, Suthep. Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-449025
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449025