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Zbl 1090.90173
Mishra, S.K.; Wang, Shou-Yang; Lai, K.K.
Optimality and duality for multiple-objective optimization under generalized type I univexity. (English)
[J] J. Math. Anal. Appl. 303, No. 1, 315-326 (2005). ISSN 0022-247X

Summary: We extend the classes of generalized type I vector-valued functions introduced by {\it B. Aghezzaf} and {\it M. Hachimi} [J. Glob. Optim. 18, No. 1, 91--101 (2000; Zbl 0970.90087)] to generalized univex type I vector-valued functions and consider a multiple-objective optimization problem involving generalized type I univex functions. A number of Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond-Weir and general Mond-Weir type duality results are also presented.

MSC 2000:: *90C29 Multi-objective programming, etc.
90C46 Optimality conditions, duality

Keywords: multiple-objective optimization; optimality conditions

Citations: Zbl 0970.90087

Cited in: Zbl 1165.90678

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