A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-11-07
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone operator, the set of solutions of the generalized mixed equilibrium problem and zeros of a maximal monotone operator in the framework of a real Banach space.
We obtain a strong convergence theorem for the sequences generated by this process in a 2 uniformly convex and uniformly smooth Banach space.
The results presented in this paper improve and extend some recent results.
American Psychological Association (APA)
Saewan, Siwaporn& Kumam, Poom. 2010. A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-447377
Modern Language Association (MLA)
Saewan, Siwaporn& Kumam, Poom. A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems. Abstract and Applied Analysis No. 2010 (2010), pp.1-31.
https://search.emarefa.net/detail/BIM-447377
American Medical Association (AMA)
Saewan, Siwaporn& Kumam, Poom. A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-447377
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447377