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Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces
Joint Authors
al-Mezel, Saleh A.
Latif, Abdul
Ceng, Lu-Chuan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Here the Mann-type extragradient methods are based on Korpelevich’s extragradient method and Mann iteration method.
We first consider and analyze a Mann-type extragradient algorithm in the setting of uniformly convex and 2-uniformly smooth Banach space and then another Mann-type extragradient algorithm in a smooth and uniformly convex Banach space.
Under suitable assumptions, we derive some weak and 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& Latif, Abdul& al-Mezel, Saleh A.. 2013. Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-485416
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-485416
American Medical Association (AMA)
Ceng, Lu-Chuan& Latif, Abdul& al-Mezel, Saleh A.. Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-485416
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485416