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The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems
Joint Authors
Gupta, Himanshu
Ceng, Lu-Chuan
Wen, Ching-Feng
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-19
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The purpose of this paper is to introduce and analyze the Mann-type extragradient iterative algorithms with regularization for finding a common element of the solution set Ξ of a general system of variational inequalities, the solution set Γ of a split feasibility problem, and the fixed point set Fix(S) of a strictly pseudocontractive mapping S in the setting of the Hilbert spaces.
These iterative algorithms are based on the regularization method, the Mann-type iteration method, and the extragradient method due to Nadezhkina and Takahashi (2006).
Furthermore, we prove that the sequences generated by the proposed algorithms converge weakly to an element of Fix(S)∩Ξ∩Γ under mild conditions.
American Psychological Association (APA)
Ceng, Lu-Chuan& Gupta, Himanshu& Wen, Ching-Feng. 2013. The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-467351
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-467351
American Medical Association (AMA)
Ceng, Lu-Chuan& Gupta, Himanshu& Wen, Ching-Feng. The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-467351
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467351