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An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, a hybrid iterative algorithm is proposed for finding a common element of the set of common fixed points of finite family of nonexpansive mappings and the set of common solutions of the variational inequality for an inverse strongly monotone mapping on the real Hilbert space.
We establish the strong convergence of the proposed method for approximating a common element of the above defined sets under some suitable conditions.
The results presented in this paper extend and improve some well-known corresponding results in the earlier and recent literature.
American Psychological Association (APA)
Husain, Shamshad& Singh, Nisha. 2019. An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1168912
Modern Language Association (MLA)
Husain, Shamshad& Singh, Nisha. An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space. Journal of Applied Mathematics No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1168912
American Medical Association (AMA)
Husain, Shamshad& Singh, Nisha. An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1168912
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168912