Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications
Joint Authors
Kumam, Poom
Cho, Yeol Je
Witthayarat, Uamporn
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-10
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets (A+M2)−1(0) and (B+M1)−1(0), where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong convergence theorems for common solutions of the two sets above in a uniformly convex and 2-uniformly smooth Banach space.
The results obtained in this paper extend and improve the corresponding results of Qin et al.
2011 from Hilbert spaces to Banach spaces and Petrot et al.
2011.
Moreover, we also apply our results to some applications for solving convex feasibility problems.
American Psychological Association (APA)
Witthayarat, Uamporn& Cho, Yeol Je& Kumam, Poom. 2012. Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993019
Modern Language Association (MLA)
Witthayarat, Uamporn…[et al.]. Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993019
American Medical Association (AMA)
Witthayarat, Uamporn& Cho, Yeol Je& Kumam, Poom. Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993019