Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces
Joint Authors
Plubtieng, Somyot
Sriprad, Wanna
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-28
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We prove strong and weak convergence theorems for a new resolvent of maximal monotone operators in a Banach space and give an estimate of the convergence rate of the algorithm.
Finally, we apply our convergence theorem to the convex minimization problem.
The result present in this paper extend and improve the corresponding result of Ibaraki and Takahashi (2007), and Kim and Xu (2005).
American Psychological Association (APA)
Plubtieng, Somyot& Sriprad, Wanna. 2009. Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-498772
Modern Language Association (MLA)
Plubtieng, Somyot& Sriprad, Wanna. Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces. Abstract and Applied Analysis No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-498772
American Medical Association (AMA)
Plubtieng, Somyot& Sriprad, Wanna. Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-498772
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498772