The generalized optimality conditions of multiobjective programming problem in topological vector space |
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| Authors: | Yuda Hu Chen Ling |
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| Institution: | a School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325027, China
b Department of Statistics and Operations Research, Zhejiang Institute of Finance and Economics, Hangzhou, 310012, China |
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| Abstract: | In this study, an alternative theorem for the subconvexlike mapping in topological vector space is established. With this alternative theorem as an aid, the generalized Fritz John conditions and the generalized Kuhn-Tucker conditions in terms of Gâteaux derivatives of multiobjective programming problem in the ordered topological vector space are given. |
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| Keywords: | Multiobjective programming Optimality condition Subconvexlike mapping Topological vector space |
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