Lkhamsuren, Altangerel ; Boţ, Radu Ioan ; Wanka, Gert : On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality

Author(s):

Lkhamsuren, Altangerel
Boţ, Radu Ioan
Wanka, Gert

Title:

On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 1, 2005

Mathematics Subject Classification:

58E35			[ Variational inequalities ]
49N15			[ Duality theory ]
90C25			[ Convex programming ]

Abstract:

In this paper we deal with the construction of gap functions for variational inequalities by using an approach which bases on the conjugate duality. Under certain assumptions we also investigate a further class of gap functions for the variational inequality problem, the so-called dual gap functions.

Keywords:

variational inequalities, gap functions, conjugate duality, dual gap functions

Language:

English

Publication time:

1 / 2005