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Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-01
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
We introduce a new iterative algorithm for solving a common solution of the set of solutions of fixed point for an infinite family of nonexpansive mappings, the set of solution of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion for a β-inverse-strongly monotone mapping in a real Hilbert space.
We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions.
Furthermore, we give a numerical example which supports our main theorem in the last part.
American Psychological Association (APA)
Chamnarnpan, Tanom& Kumam, Poom. 2012. Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-993357
Modern Language Association (MLA)
Chamnarnpan, Tanom& Kumam, Poom. Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem. Journal of Applied Mathematics No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-993357
American Medical Association (AMA)
Chamnarnpan, Tanom& Kumam, Poom. Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-993357
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993357