Printed in the USA c©2003 by North Atlantic Science Publishing Company ITERATIVE RESOLVENT METHODS FOR GENERAL MIXED VARIATIONAL INEQUALITIES

In this paper, we use the technique of updating the solution to suggest and analyze a class of new self-adaptive splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monot...

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Bibliographic Details
Main Author: Muhammad Aslam Noor
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2003
Subjects:
Key Words
Variational Inequalities
Resolvent Operators
Iterative Methods
Conver- gence
Fixed Points
North Atlantic
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.537.9330
http://emis.maths.adelaide.edu.au/journals/HOA/JAMSA/Volume16_3/294.pdf
Description
Summary:In this paper, we use the technique of updating the solution to suggest and analyze a class of new self-adaptive splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Proof of convergence is very simple. Since general mixed variational include variational inequalities and complementarity problems as special cases, our results continue to hold for these problems.

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