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Modified Hybrid Steepest-Descent Methods for General Systems of Variational Inequalities with Solutions to Zeros of m-Accretive Operators in Banach Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The purpose of this paper is to introduce and analyze modified hybrid steepest-descent methods for a general system of variational inequalities (GSVI), with solutions being also zeros of an m-accretive operator A in the setting of real uniformly convex and 2-uniformly smooth Banach space X.
Here the modified hybrid steepest-descent methods are based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method.
We propose and consider modified implicit and explicit hybrid steepest-descent algorithms for finding a common element of the solution set of the GSVI and the set A-1(0) of zeros of A in X.
Under suitable assumptions, we derive some strong convergence theorems.
The results presented in this paper improve, extend, supplement, and develop the corresponding results announced in the earlier and very recent literature.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2013. Modified Hybrid Steepest-Descent Methods for General Systems of Variational Inequalities with Solutions to Zeros of m-Accretive Operators in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-503442
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Modified Hybrid Steepest-Descent Methods for General Systems of Variational Inequalities with Solutions to Zeros of m-Accretive Operators in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-503442
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Modified Hybrid Steepest-Descent Methods for General Systems of Variational Inequalities with Solutions to Zeros of m-Accretive Operators in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-503442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503442