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Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-04
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
We introduce two iterative algorithms by the hybrid extragradient method with regularization 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 finite generalized mixed equilibrium problems, the set of solutions of finite variational inequalities for inverse strong monotone mappings and the set of fixed points of an asymptotically κ -strict pseudocontractive mapping in the intermediate sense in a real Hilbert space.
We prove some strong and weak convergence theorems for the proposed iterative algorithms under mild conditions.
American Psychological Association (APA)
Ceng, Lu-Chuan& Ho, Juei-Ling. 2014. Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-27.
https://search.emarefa.net/detail/BIM-1033760
Modern Language Association (MLA)
Ceng, Lu-Chuan& Ho, Juei-Ling. Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-27.
https://search.emarefa.net/detail/BIM-1033760
American Medical Association (AMA)
Ceng, Lu-Chuan& Ho, Juei-Ling. Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-27.
https://search.emarefa.net/detail/BIM-1033760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033760