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A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators
Joint Authors
Kumam, Poom
Wattanawitoon, Kriengsak
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-29
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
The purpose of this paper is to introduce a new iterative scheme for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of variational inequality problems, the zero point of maximal monotone operators, and the set of two countable families of quasi-ϕ-nonexpansive mappings in Banach spaces.
Moreover, the strong convergence theorems of this method are established under the suitable conditions of the parameter imposed on the algorithm.
Finally, we apply our results to finding a zero point of inverse-strongly monotone operators and complementarity problems.
Our results presented in this paper improve and extend the recently results by many others.
American Psychological Association (APA)
Wattanawitoon, Kriengsak& Kumam, Poom. 2012. A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-993565
Modern Language Association (MLA)
Wattanawitoon, Kriengsak& Kumam, Poom. A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators. Journal of Applied Mathematics No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-993565
American Medical Association (AMA)
Wattanawitoon, Kriengsak& Kumam, Poom. A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-993565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993565