The infinite dimensional Lagrange multiplier rule for convex optimization problems |
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| Authors: | Maria Bernadette Donato |
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| Institution: | Department of Mathematics, University of Messina, Viale Ferdinando Stagno d?Alcontres, 31, 98166 Messina, Italy |
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| Abstract: | In this paper an infinite dimensional generalized Lagrange multipliers rule for convex optimization problems is presented and necessary and sufficient optimality conditions are given in order to guarantee the strong duality. Furthermore, an application is presented, in particular the existence of Lagrange multipliers associated to the bi-obstacle problem is obtained. |
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| Keywords: | Lagrange multiplier rule Convex optimization problems Strong duality Assumption S Bi-obstacle problem |
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