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Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions |
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| Authors: | Mohamed Hachimi |
| Affiliation: | a Faculté des Sciences Juriduques Economiques et Sociales, Université Ibn Zohr, B.P. 32/S, Agadir, Morocco b Département de Mathématiques et d'Informatique Faculté des Sciences Aïn chock, Université Hassan II, B.P. 5366, Maârif Casablanca, Morocco |
| Abstract: | Recently, Hachimi and Aghezzaf defined generalized (F,α,ρ,d)-type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, the generalized (F,α,ρ,d)-type I functions are extended to nondifferentiable functions. By utilizing the new concepts, we obtain several sufficient optimality conditions and prove mixed type and Mond-Weir type duality results for the nondifferentiable multiobjective programming problem. |
| Keywords: | Nondifferentiable multiobjective programming problem Efficient solution Sufficiency Type I functions Generalized convexity Duality |
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