Lkhamsuren, Altangerel ; Bot, Radu Ioan ; Wanka, Gert : Variational Principles for Vector Equilibrium Problems Related to Conjugate Duality

Author(s):

Lkhamsuren, Altangerel
Bot, Radu Ioan
Wanka, Gert

Title:

Variational Principles for Vector Equilibrium Problems Related to Conjugate Duality

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 3, 2006

Mathematics Subject Classification:

58E35			[ Variational inequalities ]
49J53			[ Set-valued and variational analysis ]
49N15			[ Duality theory ]

Abstract:

This paper deals with the characterizations of solutions for vector equilibrium problems by means of conjugate duality. In order to introduce set-valued mappings depending on the data, but not on the solution sets of vector equilibrium problems we use Fenchel duality. By this approach we obtain also some gap functions for the so-called weak vector variational inequality problems.

Keywords:

vector equilibrium problem, dual vector equilibrium problem, variational principle, weak vector variational inequality, Minty weak vector variational inequality, gap function, conjugate duality

Language:

English

Publication time:

3 / 2006