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Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces
Joint Authors
Naraghirad, Eskandar
Pang, Chin-Tzong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce a general algorithm to approximate common fixed points for a countable family of nonexpansive mappings in a real Banach space.
We prove strong convergence theorems for the sequences produced by the methods and approximate a common fixed point of a countable family of nonexpansive mappings which solves uniquely the corresponding variational inequality.
Furthermore, we apply our results for finding a zero of an accretive operator.
It is important to state clearly that the contribution of this paper in relation with the previous works (Marino and Xu, 2006) is a technical method to prove strong convergence theorems of a general iterative algorithm for an infinite family of nonexpansive mappings in Banach spaces.
Our results improve and generalize many known results in the current literature.
American Psychological Association (APA)
Pang, Chin-Tzong& Naraghirad, Eskandar. 2013. Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-479755
Modern Language Association (MLA)
Pang, Chin-Tzong& Naraghirad, Eskandar. Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-479755
American Medical Association (AMA)
Pang, Chin-Tzong& Naraghirad, Eskandar. Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-479755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479755