Lkhamsuren, Altangerel ; Boţ, Radu Ioan ; Wanka, Gert : On Gap Functions for Equilibrium Problems

Author(s):

Lkhamsuren, Altangerel
Boţ, Radu Ioan
Wanka, Gert

Title:

On Gap Functions for Equilibrium Problems

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 8, 2005

Mathematics Subject Classification:

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

Abstract:

In this paper the construction of gap functions based on Fenchel duality is extended from finite-dimensional variational inequalities to equilibrium problems. Moreover, the proposed approach is applied to variational inequalities in a real Banach space.

Keywords:

equilibrium problem, Fenchel duality, weak regularity condition, gap functions, dual equilibrium problem, variational inequalities

Language:

English

Publication time:

4 / 2005