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A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems
Joint Authors
Kumam, Poom
Sunthrayuth, Pongsakorn
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-39, 39 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-25
Country of Publication
Egypt
No. of Pages
39
Main Subjects
Abstract EN
We introduce a new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, zero set of the sum of a maximal monotone operators and inverse-strongly monotone mappings, and the set of common fixed points of an infinite family of nonexpansive mappings with infinite real number.
Furthermore, we prove under some mild conditions that the proposed iterative algorithm converges strongly to a common element of the above four sets, which is a solution of the optimization problem related to a strongly positive bounded linear operator.
The results presented in the paper improve and extend the recent ones announced by many others.
American Psychological Association (APA)
Sunthrayuth, Pongsakorn& Kumam, Poom. 2011. A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-39.
https://search.emarefa.net/detail/BIM-462897
Modern Language Association (MLA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-39.
https://search.emarefa.net/detail/BIM-462897
American Medical Association (AMA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems. Abstract and Applied Analysis. 2011. Vol. 2012, no. 2012, pp.1-39.
https://search.emarefa.net/detail/BIM-462897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462897