On optimality conditions for multiobjective optimization problems in topological vector space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:334

Article

Fulga, Cristinca ; Preda, Vasile

关键词: multiobjective programming;    optimality conditions;    topological vector spaces;   

DOI  :  10.1016/j.jmaa.2006.12.047

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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