Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces
Joint Authors
Naraghirad, Eskandar
Pang, Chin-Tzong
Wen, Ching-Feng
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study Mann type iterative algorithms for finding fixed points of Bregman relatively nonexpansive mappings in Banach spaces.
By exhibiting an example, we first show that the class of Bregman relatively nonexpansive mappings embraces properly the class of Bregman strongly nonexpansive mappings which was investigated by Martín-Márques et al.
(2013).
We then prove weak convergence theorems for the sequences produced by the methods.
Some application of our results to the problem of finding a zero of a maximal monotone operator in a Banach space is presented.
Our results improve and generalize many known results in the current literature.
American Psychological Association (APA)
Pang, Chin-Tzong& Naraghirad, Eskandar& Wen, Ching-Feng. 2014. Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-481835
Modern Language Association (MLA)
Pang, Chin-Tzong…[et al.]. Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-481835
American Medical Association (AMA)
Pang, Chin-Tzong& Naraghirad, Eskandar& Wen, Ching-Feng. Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-481835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481835
