A Smooth Dual Gap Function Solution to a Class of Quasivariational Inequalities

Author: Noor H.M.A.

Source: Journal of Mathematical Analysis and Applications, Volume 235, Number 1, July 1999 , pp. 380-393(14)

Publisher: Academic Press

Abstract:

The aim of this paper is to construct a regularization of a gap function solution to a quasivariational inequality problem. The regularization may happen for example, by means of Toland's and Singer's duality theory for d.c. functions and lead to an everywhere finite and smooth dual gap function. The corresponding Fréchet derivative of the dual gap function is calculable from the data of the quasivariational inequality problem. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Publication date: 1999-07-01

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• In this Subject: Mathematics and Statistics
• By this author: Noor H.M.A.

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