![](/images/graphics-bg.png)
Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization
Joint Authors
Al-Mazrooei, A. E.
Yao, Jen-Chih
Latif, Abdul
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-08
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We propose 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 inequalities for inverse strong monotone mappings in a real Hilbert space.
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 under very mild conditions.
American Psychological Association (APA)
Al-Mazrooei, A. E.& Latif, Abdul& Yao, Jen-Chih. 2014. Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-26.
https://search.emarefa.net/detail/BIM-1014278
Modern Language Association (MLA)
Al-Mazrooei, A. E.…[et al.]. Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization. Abstract and Applied Analysis No. 2014 (2014), pp.1-26.
https://search.emarefa.net/detail/BIM-1014278
American Medical Association (AMA)
Al-Mazrooei, A. E.& Latif, Abdul& Yao, Jen-Chih. Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-26.
https://search.emarefa.net/detail/BIM-1014278
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014278