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

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.