IJPAM: Volume 1, No. 1 (2002)
APPROXIMATION SOLVABILITY OF
NONLINEAR VARIATIONAL INEQUALITIES
BASED ON GENERAL AUXILIARY
PROBLEM PRINCIPLE
NONLINEAR VARIATIONAL INEQUALITIES
BASED ON GENERAL AUXILIARY
PROBLEM PRINCIPLE
Ram U. VermaUniversity of Toledo, Dept. of Mathematics, Toledo, Ohio 43606, USA
International Publications, USA
12046 Coed Drive, Suite A-29
Orlando, Florida 32826, USA
e-mail: verma99@msn.com
International Publications, USA
12046 Coed Drive, Suite A-29
Orlando, Florida 32826, USA
e-mail: verma99@msn.com
Abstract.First a general class of auxiliary problem principle is introduced and then it is applied to approximation-solvability of the following class of nonlinear variational inequality problems (NVIP):
Find an element such that

where










where




Received: July 22, 2001
AMS Subject Classification: 49J40
Key Words and Phrases: general auxiliary problem principle, auxiliary variational inequality problem, approximation-solvability, approximate solutions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 1
Issue: 1