Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces
Joint Authors
Naraghirad, Eskandar
Yao, Jen-Chih
Wong, Ngai-Ching
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The Opial property of Hilbert spaces and some other special Banach spaces is a powerful tool in establishing fixed point theorems for nonexpansive and, more generally, nonspreading mappings.
Unfortunately, not every Banach space shares the Opial property.
However, every Banach space has a similar Bregman-Opial property for Bregman distances.
In this paper, using Bregman distances, we introduce the classes of Bregman nonspreading mappings and investigate the Mann and Ishikawa iterations for these mappings.
We establish weak and strong convergence theorems for Bregman nonspreading mappings.
American Psychological Association (APA)
Naraghirad, Eskandar& Wong, Ngai-Ching& Yao, Jen-Chih. 2013. Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013612
Modern Language Association (MLA)
Naraghirad, Eskandar…[et al.]. Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013612
American Medical Association (AMA)
Naraghirad, Eskandar& Wong, Ngai-Ching& Yao, Jen-Chih. Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013612
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013612