Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
Joint Authors
Zheng, Yue
Yuan, Liuyang
Chen, Jia-wei
Wan, Zhongping
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-28
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping.
By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpansive mappings in Banach spaces.
The strong convergence theorems for weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpansive mappings are derived under some suitable assumptions.
The main results in this paper develop, extend, and improve the corresponding results of Matsushita and Takahashi (2005) and Qin and Su (2007).
American Psychological Association (APA)
Chen, Jia-wei& Wan, Zhongping& Yuan, Liuyang& Zheng, Yue. 2011. Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-470799
Modern Language Association (MLA)
Chen, Jia-wei…[et al.]. Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-470799
American Medical Association (AMA)
Chen, Jia-wei& Wan, Zhongping& Yuan, Liuyang& Zheng, Yue. Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-470799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470799