Convergence of a Proximal Point Algorithm for Solving Minimization Problems
Joint Authors
Mukheimer, A. A.
Hamdi, Abdelouahed
Noor, Muhammad Aslam
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We introduce and consider a proximal point algorithm for solving minimization problems using the technique of Güler.
This proximal point algorithm is obtained by substituting the usual quadratic proximal term by a class of convex nonquadratic distance-like functions.
It can be seen as an extragradient iterative scheme.
We prove the convergence rate of this new proximal point method under mild assumptions.
Furthermore, it is shown that this estimate rate is better than the available ones.
American Psychological Association (APA)
Hamdi, Abdelouahed& Noor, Muhammad Aslam& Mukheimer, A. A.. 2012. Convergence of a Proximal Point Algorithm for Solving Minimization Problems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028726
Modern Language Association (MLA)
Hamdi, Abdelouahed…[et al.]. Convergence of a Proximal Point Algorithm for Solving Minimization Problems. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1028726
American Medical Association (AMA)
Hamdi, Abdelouahed& Noor, Muhammad Aslam& Mukheimer, A. A.. Convergence of a Proximal Point Algorithm for Solving Minimization Problems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1028726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028726