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An Iterative Method for Solving a System of Mixed Equilibrium Problems, System of Quasivariational Inclusions, and Fixed Point Problems of Nonexpansive Semigroups with Application to Optimization Problems
Joint Authors
Kumam, Poom
Sunthrayuth, Pongsakorn
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-06
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We introduce a general implicit iterative scheme base on viscosity approximation method with a ϕ-strongly pseudocontractive mapping for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for a nonexpansive semigroup, and the set of solutions of system of variational inclusions with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mappings in Hilbert spaces.
Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of the optimization problem related to a strongly positive bounded linear operator.
American Psychological Association (APA)
Sunthrayuth, Pongsakorn& Kumam, Poom. 2012. An Iterative Method for Solving a System of Mixed Equilibrium Problems, System of Quasivariational Inclusions, and Fixed Point Problems of Nonexpansive Semigroups with Application to Optimization Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-513159
Modern Language Association (MLA)
Sunthrayuth, Pongsakorn& Kumam, Poom. An Iterative Method for Solving a System of Mixed Equilibrium Problems, System of Quasivariational Inclusions, and Fixed Point Problems of Nonexpansive Semigroups with Application to Optimization Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-513159
American Medical Association (AMA)
Sunthrayuth, Pongsakorn& Kumam, Poom. An Iterative Method for Solving a System of Mixed Equilibrium Problems, System of Quasivariational Inclusions, and Fixed Point Problems of Nonexpansive Semigroups with Application to Optimization Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-513159
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513159