A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems

A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems

Under the condition that the values of mapping F are evaluated approximately, we propose a proximal analytic center cutting plane algorithm for solving variational inequalities. It can be considered as an approximation of the earlier cutting plane method, and the conditions we impose on the correspo...

Full description

Bibliographic Details
Main Authors: Jie Shen, Li-Ping Pang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/503242
id doaj-583cae52e1144f1e9651957c21e7c4aa
record_format Article
spelling doaj-583cae52e1144f1e9651957c21e7c4aa2020-11-24T23:11:59ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/503242503242A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality ProblemsJie Shen0Li-Ping Pang1School of Mathematics, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaUnder the condition that the values of mapping F are evaluated approximately, we propose a proximal analytic center cutting plane algorithm for solving variational inequalities. It can be considered as an approximation of the earlier cutting plane method, and the conditions we impose on the corresponding mappings are more relaxed. The convergence analysis for the proposed algorithm is also given at the end of this paper.http://dx.doi.org/10.1155/2012/503242
collection DOAJ
language English
format Article
sources DOAJ
author Jie Shen
Li-Ping Pang
spellingShingle Jie Shen
Li-Ping Pang
A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
Journal of Applied Mathematics
author_facet Jie Shen
Li-Ping Pang
author_sort Jie Shen
title A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
title_short A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
title_full A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
title_fullStr A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
title_full_unstemmed A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
title_sort proximal analytic center cutting plane algorithm for solving variational inequality problems
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description Under the condition that the values of mapping F are evaluated approximately, we propose a proximal analytic center cutting plane algorithm for solving variational inequalities. It can be considered as an approximation of the earlier cutting plane method, and the conditions we impose on the corresponding mappings are more relaxed. The convergence analysis for the proposed algorithm is also given at the end of this paper.
url http://dx.doi.org/10.1155/2012/503242
work_keys_str_mv AT jieshen aproximalanalyticcentercuttingplanealgorithmforsolvingvariationalinequalityproblems
AT lipingpang aproximalanalyticcentercuttingplanealgorithmforsolvingvariationalinequalityproblems
AT jieshen proximalanalyticcentercuttingplanealgorithmforsolvingvariationalinequalityproblems
AT lipingpang proximalanalyticcentercuttingplanealgorithmforsolvingvariationalinequalityproblems
_version_ 1725602916669063168

Similar Items