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Generalized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings
Joint Authors
Junlouchai, Prapairat
Kumam, Poom
Kumam, Wiyada
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-14
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We introduce an iterative sequence for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for three inverse-strongly monotone mappings.
Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained.
Moreover, using the above theorem, we also apply to find solutions of a general system of variational inequality and a zero of a maximal monotone operator in a real Hilbert space.
As applications, at the end of the paper we utilize our results to study some convergence problem for strictly pseudocontractive mappings.
Our results include the previous results as special cases extend and improve the results of Ceng et al., (2008) and many others.
American Psychological Association (APA)
Kumam, Wiyada& Junlouchai, Prapairat& Kumam, Poom. 2011. Generalized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-512955
Modern Language Association (MLA)
Kumam, Wiyada…[et al.]. Generalized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-512955
American Medical Association (AMA)
Kumam, Wiyada& Junlouchai, Prapairat& Kumam, Poom. Generalized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-512955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512955