Lkhamsuren, Altangerel ; Bot, Radu Ioan ; Wanka, Gert : Conjugate Duality in Vector Optimization and Some Applications to the Vector Variational Inequality

Author(s):

Lkhamsuren, Altangerel
Bot, Radu Ioan
Wanka, Gert

Title:

Conjugate Duality in Vector Optimization and Some Applications to the Vector Variational Inequality

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 4, 2006

Mathematics Subject Classification:

90C29			[ Multi-objective and goal programming ]
49N15			[ Duality theory ]
58E35			[ Variational inequalities ]

Abstract:

The aim of this paper is to investigate an approach dealing with the construction of gap functions for the vector variational inequality with regard to conjugate duality in vector optimization. In order to introduce new gap functions for the vector variational inequality, we consider some special perturbation functions. To verify the properties of a gap function, duality results are used.

Keywords:

conjugate duality, conjugate map, vector optimization, perturbation function, vector variational inequality, gap function

Language:

English

Publication time:

3 / 2006