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Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
We further study some proximal point algorithms for finding zeros of monotone operators and solving generalized mixed equilibrium problems in Banach spaces.
Our results improve and extend some recent results concerning generalized projection operators corresponding to Bregman distance.
American Psychological Association (APA)
Kuo, Li-Wei& Sahu, Daya Ram. 2013. Bregman Distance and Strong Convergence of Proximal-Type Algorithms. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483245
Modern Language Association (MLA)
Kuo, Li-Wei& Sahu, Daya Ram. Bregman Distance and Strong Convergence of Proximal-Type Algorithms. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-483245
American Medical Association (AMA)
Kuo, Li-Wei& Sahu, Daya Ram. Bregman Distance and Strong Convergence of Proximal-Type Algorithms. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483245