A modified inexact implicit method for mixed variational inequalities

Authors:
Abdellah Bnouhachem;Min Li;Mohamed Khalfaoui;Sheng Zhaohan
Affiliations:
School of Management Science and Engineering, Nanjing University, Nanjing, 210093, PR China and Ibn Zohr University, ENSA, BP:1136, Agadir, Morocco;School of Economics and Management, Southeast University, Nanjing, 210096, PR China;Ibn Zohr University, Présidence, BP 32/S, Agadir, Morocco;School of Management Science and Engineering, Nanjing University, Nanjing, 210093, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 9
Cited 0

Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Mathematical Programming: Series A and B
Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems

Mathematical Programming: Series A and B
A globally convergent Newton method for solving strongly monotone variational inequalities

Mathematical Programming: Series A and B
Improvements of some projection methods for monotone nonlinear variational inequalities

Journal of Optimization Theory and Applications
Modified Goldstein-Levitin-Polyak projection method for asymmetric strongly monotone variational inequalities

Journal of Optimization Theory and Applications
Pseudomonotone general mixed variational inequalities

Applied Mathematics and Computation
An inexact implicit method for general mixed variational inequalities

Journal of Computational and Applied Mathematics
A modified inexact operator splitting method for monotone variational inequalities

Journal of Global Optimization
A note on a globally convergent Newton method for solving monotone variational inequalities

Operations Research Letters

Quantified Score

Hi-index	7.29

Visualization

Abstract

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.