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Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces
Joint Authors
Naraghirad, Eskandar
Pang, Chin-Tzong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We first introduce a new class of mappings called Bregman asymptotic pointwise nonexpansive mappings and investigate the existence and the approximation of fixed points of such mappings defined on a nonempty, bounded, closed, and convex subset C of a real Banach space E.
Without using the original Opial property of a Banach space E, we prove weak convergence theorems for the sequences produced by generalized Mann and Ishikawa iteration processes for Bregman asymptotic pointwise nonexpansive mappings in a reflexive Banach space E.
Our results are applicable in the function spaces Lp, where 1
American Psychological Association (APA)
Pang, Chin-Tzong& Naraghirad, Eskandar. 2013. Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-462935
Modern Language Association (MLA)
Pang, Chin-Tzong& Naraghirad, Eskandar. Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-462935
American Medical Association (AMA)
Pang, Chin-Tzong& Naraghirad, Eskandar. Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-462935
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462935