Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: PARAMETRIC GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM IN UNIFORMLY SMOOTH BANACH SPACE | PARAMETRIC GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM IN UNIFORMLY SMOOTH BANACH SPACE K. R. KAZMI AND F. A. KHAN Received 18 October 2005 Revised 10 April 2006 Accepted 24 April 2006 Using the concept of P- -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. 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. 1. Introduction Variational inequality theory has become a very effective and powerful tool for studying a wide range of problems arising in mechanics contact problems in elasticity optimization and control management science operation research general equilibrium problems in economics and transportation unilateral obstacle moving boundary-valued problems and so forth see for example 3 12 15 . Variational inequalities have been generalized and extended in different directions using novel and innovative techniques. In recent years much attention has been given to develop general methods for the sensitivity analysis of solution set of various classes of variational inequalities inclusions . From the mathematical and engineering point of view sensitivity properties of various classes of variational inequalities can provide new insight concerning the problems being studied and can stimulate ideas for solving problems. The sensitivity analysis of solution set for variational inequalities has been studied extensively by many authors using quite different methods. By using the projection technique Dafermos 4 Mukherjee and Verma 17 Noor 18 .
