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

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
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