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A New General System of Generalized Nonlinear Mixed Composite-Type Equilibria and Fixed Point Problems with an Application to Minimization Problems
Joint Authors
Kumam, Poom
Sunthrayuth, Pongsakorn
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-14
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We introduce a new general system of generalized nonlinear mixed composite-type equilibria and propose a new iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of a general system of generalized nonlinear mixed composite-type equilibria, and the set of fixed points of a countable family of strict pseudocontraction mappings.
Furthermore, we prove the strong convergence theorem of the purposed iterative scheme in a real Hilbert space.
As applications, we apply our results to solve a certain minimization problem related to a strongly positive bounded linear operator.
Finally, we also give a numerical example which supports our results.
The results obtained in this paper extend the recent ones announced by many others.
American Psychological Association (APA)
Sunthrayuth, Pongsakorn& Kumam, Poom. 2012. A New General System of Generalized Nonlinear Mixed Composite-Type Equilibria and Fixed Point Problems with an Application to Minimization Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-470280
Modern Language Association (MLA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New General System of Generalized Nonlinear Mixed Composite-Type Equilibria and Fixed Point Problems with an Application to Minimization Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-470280
American Medical Association (AMA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New General System of Generalized Nonlinear Mixed Composite-Type Equilibria and Fixed Point Problems with an Application to Minimization Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-470280
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470280