Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-26
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f-projection operator.
Using this result, we discuss strong convergence theorem concerning general H-monotone mappings.
Our results extend many known recent results in the literature.
American Psychological Association (APA)
Shehu, Yekini. 2011. Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-457504
Modern Language Association (MLA)
Shehu, Yekini. Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings. Abstract and Applied Analysis No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-457504
American Medical Association (AMA)
Shehu, Yekini. Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-457504
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457504