Convergence Theorems for a Maximal Monotone Operator and a V-Strongly Nonexpansive Mapping in a Banach Space
Author
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-01
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Let E be a smooth Banach space with a norm ∥·∥.
Let V(x,y)=∥x∥2+∥y∥2−2〈x,Jy〉 for any x,y∈E, where 〈·,·〉 stands for the duality pair and J is the normalized duality mapping.
With respect to this bifunction V(·,·), a generalized nonexpansive mapping and a V-strongly nonexpansive mapping are defined in E.
In this paper, using the properties of generalized nonexpansive mappings, we prove convergence theorems for common zero points of a maximal monotone operator and a V-strongly nonexpansive mapping.
American Psychological Association (APA)
Manaka, Hiroko. 2010. Convergence Theorems for a Maximal Monotone Operator and a V-Strongly Nonexpansive Mapping in a Banach Space. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-988661
Modern Language Association (MLA)
Manaka, Hiroko. Convergence Theorems for a Maximal Monotone Operator and a V-Strongly Nonexpansive Mapping in a Banach Space. Abstract and Applied Analysis No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-988661
American Medical Association (AMA)
Manaka, Hiroko. Convergence Theorems for a Maximal Monotone Operator and a V-Strongly Nonexpansive Mapping in a Banach Space. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-988661
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988661
