A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems
Joint Authors
Kumam, Poom
Sunthrayuth, Pongsakorn
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-23
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space.
Then, we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions.
As applications, at the end of the paper, we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems.
The results obtained in this paper extend and improve many recent ones announced by many others.
American Psychological Association (APA)
Sunthrayuth, Pongsakorn& Kumam, Poom. 2013. A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-455678
Modern Language Association (MLA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-455678
American Medical Association (AMA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-455678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455678