Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems
Joint Authors
Liou, Yeong-Cheng
Yao, Yonghong
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The purpose of this paper is to solve the minimization problem of finding x∗ such that x∗=argminx∈Γ‖x‖2, where Γ stands for the intersection set of the solution set of the equilibrium problem and the fixed points set of a nonexpansive mapping.
We first present two new composite algorithms (one implicit and one explicit).
Further, we prove that the proposed composite algorithms converge strongly to x∗.
American Psychological Association (APA)
Yao, Yonghong& Liou, Yeong-Cheng. 2010. Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-496892
Modern Language Association (MLA)
Yao, Yonghong& Liou, Yeong-Cheng. Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-496892
American Medical Association (AMA)
Yao, Yonghong& Liou, Yeong-Cheng. Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-496892
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496892