Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We prove strong and weak convergence results using multistep iterative sequences for countable family of multivalued quasi-nonexpansive mappings by using some conditions in uniformly convex real Banach space.
The results presented extended and improved the corresponding result of Zhang et al.
(2013), Bunyawat and Suantai (2012), and some others from finite family, one countable family, and two countable families to k-number of countable families of multivalued quasi-nonexpansive mappings.
Also we used a numerical example in C++ computational programs to prove that the iterative scheme we used has better rate of convergence than other existing iterative schemes.
American Psychological Association (APA)
Chugh, Renu& Kumar, Sanjay. 2014. Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014764
Modern Language Association (MLA)
Chugh, Renu& Kumar, Sanjay. Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014764
American Medical Association (AMA)
Chugh, Renu& Kumar, Sanjay. Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014764
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014764