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A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces
Joint Authors
Kumam, Poom
Sunthrayuth, Pongsakorn
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-07
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
We introduce a new general system of variational inclusions in Banach spaces and propose a new iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed point of nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space.
Furthermore, strong convergence theorems are established under some certain control conditions.
As applications, finding a common solution for a system of variational inequality problems and minimization problems is given.
American Psychological Association (APA)
Sunthrayuth, Pongsakorn& Kumam, Poom. 2011. A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-29.
https://search.emarefa.net/detail/BIM-452945
Modern Language Association (MLA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces. Journal of Applied Mathematics No. 2011 (2011), pp.1-29.
https://search.emarefa.net/detail/BIM-452945
American Medical Association (AMA)
Sunthrayuth, Pongsakorn& Kumam, Poom. A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-29.
https://search.emarefa.net/detail/BIM-452945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452945