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

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.

### MSC:

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

### Keywords:

multiple-objective optimization; optimality conditions

Zbl 0970.90087
Full Text:

### References:

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