AN IMPLICIT METHOD FOR SOLVING NONCONVEX VARIATIONAL INEQUALITIES

Authors

  • Eman Al-Shemas Kuwait College of Basic Education - Department of Mathematics

Keywords:

nonconvex variational inequalities, fixed point problems, predictor-corrector methods

Abstract

This paper presents a predictor-corrector algorithm for solving the strongly nonlinear general noncovex variational inequality, which is a class of nonconvex variational inequalities involving three nonlinear operators.  We establish the equivalence between the strongly nonlinear general nonconvex variational inequalities and the fixed point problem, and show that the convergence of the predictor-corrector method only requires pseudomonotonicity, which is a weaker condition than monotonicity.  Some special cases are also discussed.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Published

2013-12-31

How to Cite

Al-Shemas, E. (2013). AN IMPLICIT METHOD FOR SOLVING NONCONVEX VARIATIONAL INEQUALITIES. Italian Journal of Pure and Applied Mathematics, 31, 333–342. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6127

Issue

N°31 - December 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Eman Al-Shemas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)