Recently Hachimi and Aghezzaf introduced the notion of (F, alpha, p, d)-type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, we extend the notion of ...
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Recently Hachimi and Aghezzaf introduced the notion of (F, alpha, p, d)-type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, we extend the notion of (F, alpha, p, d)-type I functions to secondorder and establish several mixed duality results under secondordergeneralized (F, alpha, p, p, d)-type I functions. Our results generalize the duality results recently given by Aghezzaf [Aghezzaf, B. (2003). secondorder mixed type duality in multiobjective programming problems. J. Math. Anal. Appl. 285:97-1061 and Hachimi and Aghezzaf [Hachimi, M., Aghezzaf, B. (2004). Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions.
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