Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 42451, 13 pages
doi:10.1155/FPTA/2006/42451

Parametric general variational-like inequality problem in uniformly smooth Banach space

K. R. Kazmi and F. A. Khan

Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

Received 18 October 2005; Revised 10 April 2006; Accepted 24 April 2006

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, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using the concept of p-η-proximal mapping, we study the existence and sensitivity analysis 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.