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Strong Convergence Theorems for a Common Fixed Point of Two Countable Families of Relatively Quasi Nonexpansive Mappings and Applications
Joint Authors
Cheng, Qingqing
Su, Yongfu
Zhang, Jingling
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-35, 35 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-12
Country of Publication
Egypt
No. of Pages
35
Main Subjects
Abstract EN
The purpose of this paper is to prove strong convergence theorems for common fixed points of two countable families of relatively quasi nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f-projection operator.
In order to get the strong convergence theorems, a new iterative scheme by monotone hybrid method is presented and is used to approximate the common fixed points.
Then, two examples of countable families of uniformly closed nonlinear mappings are given.
The results of this paper modify and improve the results of Li et al.
(2010), the results of Takahashi and Zembayashi (2008), and many others.
American Psychological Association (APA)
Zhang, Jingling& Su, Yongfu& Cheng, Qingqing. 2012. Strong Convergence Theorems for a Common Fixed Point of Two Countable Families of Relatively Quasi Nonexpansive Mappings and Applications. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-35.
https://search.emarefa.net/detail/BIM-511291
Modern Language Association (MLA)
Zhang, Jingling…[et al.]. Strong Convergence Theorems for a Common Fixed Point of Two Countable Families of Relatively Quasi Nonexpansive Mappings and Applications. Abstract and Applied Analysis No. 2012 (2012), pp.1-35.
https://search.emarefa.net/detail/BIM-511291
American Medical Association (AMA)
Zhang, Jingling& Su, Yongfu& Cheng, Qingqing. Strong Convergence Theorems for a Common Fixed Point of Two Countable Families of Relatively Quasi Nonexpansive Mappings and Applications. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-35.
https://search.emarefa.net/detail/BIM-511291
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511291