On multiple-objective optimization with generalized univexity.(English)Zbl 0911.90292

Summary: A multiple-objective optimization problem involving generalized univex functions is considered. Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Mond-Weir type duality results are obtained. Further, a vector-valued Lagrangian is introduced and certain vector saddlepoint results are presented. $$\copyright$$ 1998 Academic Press.

MSC:

 90C29 Multi-objective and goal programming 26B25 Convexity of real functions of several variables, generalizations
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References:

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