On optimality conditions for multiobjective optimization problems in topological vector space |
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Authors: | Cristinca Fulga Vasile Preda |
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Affiliation: | a Academy of Economics Studies, Faculty of Cybernetics, Statistics and Economic Informatics, Department of Mathematics, Piata Romana 6, Bucharest, Romania b University of Bucharest, Faculty of Mathematics and Computer Sciences, street Academiei 14, Bucharest 010014, Romania |
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Abstract: | In this paper, we are concerned with a differentiable multiobjective programming problem in topological vector spaces. An alternative theorem for generalized K subconvexlike mappings is given. This permits the establishment of optimality conditions in this context: several generalized Fritz John conditions, in line to those in Hu and Ling Y. Hu, C. Ling, The generalized optimality conditions of multiobjective programming problem in topological vector space, J. Math. Anal. Appl. 290 (2004) 363-372] are obtained and, in the presence of the generalized Slater's constraint qualification, the Karush-Kuhn-Tucker necessary optimality conditions. |
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Keywords: | Multiobjective programming Optimality conditions Topological vector spaces |
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