Author： Jacinto Flavia Morgana
Publisher： Taylor & Francis Ltd
ISSN： 0233-1934
Source： Optimization, Vol.57, Iss.6, 2008-01, pp. : 795-805
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Abstract
We introduce a generalized equilibrium problem (GEP) that allow us to develop a robust dual scheme for this problem, based on the theory of conjugate functions. We obtain a unified dual analysis for interesting problems. Indeed, the Lagrangian duality for convex optimization is a particular case of our dual problem. We establish necessary and sufficient optimality conditions for GEP that become a well-known theorem given by Mosco and the dual results obtained by Morgan and Romaniello, which extend those introduced by Auslender and Teboulle for a variational inequality problem.
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