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Mishra, S. K.

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

J. Math. Anal. Appl. 224, No. 1, 131-148 (1998).
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.

Cited in 34 Documents

MSC:

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

Keywords:

properly efficient solutions; multiple-objective optimization; generalized univex functions; sufficient optimality conditions; duality results; vector-valued Lagrangian; vector saddlepoint
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\textit{S. K. Mishra}, J. Math. Anal. Appl. 224, No. 1, 131--148 (1998; Zbl 0911.90292)
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References:

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