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Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces
Joint Authors
Suantai, Suthep
Bunyawat, Aunyarat
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {Ti} in a uniformly convex Banach space.
We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each Ti.
Some strong convergence theorems of the proposed method are also obtained for the following cases: all Ti are continuous and one of Ti is hemicompact, and the domain K is compact.
American Psychological Association (APA)
Bunyawat, Aunyarat& Suantai, Suthep. 2012. Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-472060
Modern Language Association (MLA)
Bunyawat, Aunyarat& Suantai, Suthep. Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-472060
American Medical Association (AMA)
Bunyawat, Aunyarat& Suantai, Suthep. Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-472060
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472060