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Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-30
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
It is well known that the gradient-projection algorithm (GPA) for solving constrained convex minimization problems has been proven to have only weak convergence unless the underlying Hilbert space is finite dimensional.
In this paper, we introduce a new hybrid gradient-projection algorithm for solving constrained convex minimization problems with generalized mixed equilibrium problems in a real Hilbert space.
It is proven that three sequences generated by this algorithm converge strongly to the unique solution of some variational inequality, which is also a common element of the set of solutions of a constrained convex minimization problem, the set of solutions of a generalized mixed equilibrium problem, and the set of fixed points of a strict pseudocontraction in a real Hilbert space.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2012. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994313
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-994313
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994313