PARAMETRIC GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM IN UNIFORMLY SMOOTH BANACH SPACE

Using the concept of P-η-proximal mapping, we study the existence and sensitivity anal-ysis of solution of a parametric general variational-like inequality problem in uniformly smooth Banach space. The approach used may be treated as an extension and unification of approaches for studying sensitivity analysis for various important classes of variational inequalities given by many authors in this direction. Copyright © 2006 K. R. Kazmi and F. A. Khan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis-tribution, and reproduction in any medium, provided the original work is properly cited. 1