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Algorithms of Common Solutions for Generalized Mixed Equilibria, Variational Inclusions, and Constrained Convex Minimization
Joint Authors
al-Homidan, Suliman
Ceng, Lu-Chuan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We introduce new implicit and explicit iterative algorithms for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fréchet differentiable functional, the set of solutions of a finite family of generalized mixed equilibrium problems, and the set of solutions of a finite family of variational inclusions in a real Hilbert space.
Under suitable control conditions, we prove that the sequences generated by the proposed algorithms converge strongly to a common element of three sets, which is the unique solution of a variational inequality defined over the intersection of three sets.
American Psychological Association (APA)
Ceng, Lu-Chuan& al-Homidan, Suliman. 2014. Algorithms of Common Solutions for Generalized Mixed Equilibria, Variational Inclusions, and Constrained Convex Minimization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1013317
Modern Language Association (MLA)
Ceng, Lu-Chuan& al-Homidan, Suliman. Algorithms of Common Solutions for Generalized Mixed Equilibria, Variational Inclusions, and Constrained Convex Minimization. Abstract and Applied Analysis No. 2014 (2014), pp.1-25.
https://search.emarefa.net/detail/BIM-1013317
American Medical Association (AMA)
Ceng, Lu-Chuan& al-Homidan, Suliman. Algorithms of Common Solutions for Generalized Mixed Equilibria, Variational Inclusions, and Constrained Convex Minimization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1013317
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013317