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Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space
Joint Authors
Thianwan, Sornsak
Chuayjan, Wariam
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-26
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space.
Under suitable assumptions, we show a strong convergence theorem.
Using this result, we obtain some applications in a Banach space.
The results obtained in this paper extend and improve the several recent results in this area.
American Psychological Association (APA)
Chuayjan, Wariam& Thianwan, Sornsak. 2009. Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-485148
Modern Language Association (MLA)
Chuayjan, Wariam& Thianwan, Sornsak. Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space. Abstract and Applied Analysis No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-485148
American Medical Association (AMA)
Chuayjan, Wariam& Thianwan, Sornsak. Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-485148
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485148