Author(s)

M. Aslam Noor

Abstract

It is well known that a wide class of linear and nonlinear obstacle, unilateral, contact, free and moving boundary value problems arising in pure an applied engineering sciences can be studied in the unified framework of variational inequalities. The main advantage of this formulation is that the location of the obstacle (free, contact) becomes an essential part of the solution and no special technique is needed to locate it. In this paper, we use the auxiliary principle technique to suggest and analyze a novel and general iterative algorithm for solving a new class of variational inequalities. Several known iterative methods can be obtained as special cases of our main result. 1 Introduction Variational inequality theory is a centerpiece of modern applicable mathe- matics and such inequalities have a virtually ubiquitous presenc

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