Volume no :19, Issue no: 1, January 2013

Journal of Mathematical Sciences: Advances and Applications

GENERAL NONCONVEX WIENER-HOPF EQUATIONS AND GENERAL NONCONVEX VARIATIONAL INEQUALITIES

Author's: EMAN AL-SHEMAS
Pages: [1] - [11]
Received Date: July 23, 2012
Submitted by: Zeyad Abdel Aziz Mahid Al-Zhour

Abstract

This paper presents a Wiener-Hopf equations technique to suggest and analyze an iterative algorithm for solving the strongly nonlinear general nonconvex variational inequality. We establish the equivalence between the strongly nonlinear general nonconvex variational inequalities and the general nonconvex Wiener-Hopf equations. We also prove the convergence of the suggested algorithm under suitable conditions. Some special cases are also discussed.

Keywords

nonconvex variational inequalities, fixed point methods, Wiener-Hopf equations.