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.


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