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Mishra, S. K.; Wang, Shou-Yang; Lai, K. K.

Optimality and duality for multiple-objective optimization under generalized type I univexity. (English) Zbl 1090.90173

J. Math. Anal. Appl. 303, No. 1, 315-326 (2005).
Summary: We extend the classes of generalized type I vector-valued functions introduced by B. Aghezzaf and 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.

Cited in 1 Review
Cited in 18 Documents

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming

Keywords:

multiple-objective optimization; optimality conditions

Citations:

Zbl 0970.90087
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\textit{S. K. Mishra} et al., J. Math. Anal. Appl. 303, No. 1, 315--326 (2005; Zbl 1090.90173)
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References:

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