Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings
Joint Authors
Suantai, Suthep
Cholamjiak, Watcharaporn
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space.
We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space.
The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003).
American Psychological Association (APA)
Cholamjiak, Watcharaporn& Suantai, Suthep. 2009. Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-461435
Modern Language Association (MLA)
Cholamjiak, Watcharaporn& Suantai, Suthep. Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings. Abstract and Applied Analysis No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-461435
American Medical Association (AMA)
Cholamjiak, Watcharaporn& Suantai, Suthep. Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-461435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461435