Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems
Joint Authors
Source
Journal of Function Spaces and Applications
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 and Applications،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-489760
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 and Applications No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-489760
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 and Applications. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-489760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489760