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| Volume 8, Number 3, December 2007, pp. 417-430 | ||||||||||
| Izhar Ahmad and Sarita Sharma | ||||||||||
| Key words: | ||||||||||
| Nonsmooth multiobjective optimization, generalized type I functions, sufficient optimality conditions, duality theorems | ||||||||||
| Mathematices Subject Classification: Primary 90C29, 90C30, 90C46 | ||||||||||
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| Abstract: | |||
| In this paper, a new class of generalized (F, ρ, σ)-type I functions are introduced for a nonsmooth multiobjective optimization problem. Based upon these generalized functions, Karush-Kuhn-Tucker type sufficient optimality conditions are derived for a feasible point to be an efficient or properly efficient solution. Appropriate duality theorems are also proved for a general Mond-Weir type dual. | |||
| Optimality conditions and duality in nonsmooth multiobjective optimization | ||