Author(s)

M.A. Noor & K.A. Al-Ban

Abstract

Wiener-Hopf equations technique for general variational inequalities M.A. Noor", K.A. Al-Ban/ z^ P.O. Boz 11451, Saudi Arabia ^Mathematics Department, Science Education /or ABSTRACT In this paper, we show that the general variational inequality problem is equivalent to solving the Wiener-Hopf equations. We use this equivalence to suggest and analyze a number of iterative algorithms for solving general variational inequalities. INTRODUCTION Variational inequality theory, which was introduced by Stampacchia l] and Fichera [2] in the early sixties, describes a broad spectrum of very interesting and important developments involving a link among various fields of pure and applied sciences. It has been shown by many research workers that a wide class of contact, obstacle, unilateral, free, moving and general equilibrium problems arising in elasticity, fluid flow through porous media, economics, transportation, regional and engineering sciences can

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