๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A modified inexact implicit method for mixed variational inequalities

โœ Scribed by Abdellah Bnouhachem; Min Li; Mohamed Khalfaoui; Sheng Zhaohan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
329 KB
Volume
234
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, we suggest and analyze an inexact implicit method with a variable parameter for mixed variational inequalities by using a new inexactness restriction. Under certain conditions, the global convergence of the proposed method is proved. Some preliminary computational results are given to illustrate the efficiency of the new inexactness restriction. The results proved in this paper may be viewed as improvement and refinement of the previously known results.


๐Ÿ“œ SIMILAR VOLUMES


Modified extragradient methods for solvi
โœ Abdellah Bnouhachem; M.H. Xu; Xiao-Ling Fu; Sheng Zhaohan ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 535 KB

In this paper, we propose two methods for solving variational inequalities. In the first method, we modified the extragradient method by using a new step size while the second method can be viewed as an extension of the first one by performing an additional projection step at each iteration and anot

A new modified Goldstein-Levitin-Polyakp
โœ Derek Han; Wenyu Sun ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 528 KB

In this paper, we first show that the adjustment parameter in the step size choice strategy of the modified Goldstein-Levitin-Polyak projection method proposed by He et al. for asymmetric strongly monotone variational inequality problems can be bounded away from zero by a positive constant. Under th