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Zbl 1144.90477
Kim, Do Sang; Schaible, Siegfried
Optimality and duality for invex nonsmooth multiobjective programming problems. (English)
[J] Optimization 53, No. 2, 165-176 (2004). ISSN 0233-1934; ISSN 1029-4945/e

Summary: We consider nonsmooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several sufficient optimality conditions under various (generalized) invexity assumptions and certain regularity conditions are presented. In addition, we introduce a Wolfe-type dual and Mond-Weir-type dual and establish duality relations under various (generalized) invexity and regularity conditions.
MSC 2000:
*90C29 Multi-objective programming, etc.
49J52 Nonsmooth analysis (other weak concepts of optimality)
49N15 Duality theory (optimization)
90C46 Optimality conditions, duality

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