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| Volume 2, Number 3, September 2006, pp.667-678 | ||||||||
| Lkhamsuren Altangerel, Radu Ioan Boţ and Gert Wanka | ||||||||
| Key words: | ||||||||
| equilibrium problem, Fenchel duality, weak regularity condition, gap functions, dual equilibrium problem, variational inequalities | ||||||||
| Mathematices Subject Classification: 49N15, 58E35, 90C25 | ||||||||
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| Abstract: | |||
| In this paper we deal with the construction of gap functions for equilibrium problems by using the Fenchel duality theory for convex optimization problems. For proving the properties which characterize a gap function weak and strong duality are used. Moreover, the proposed approach is applied to variational inequalities in a real Banach space. | |||
| On gap functions for equilibrium problems via Fenchel duality | ||