Abstract
Recently Hachimi and Aghezzaf introduced the notion of (F,α,ρ,d)-type I functions, a new class of functions that unifies several concepts of generalized type I functions. Here, we extend the concepts of (F,α,ρ,d)-type I and generalized (F,α,ρ, d)-type I functions to the continuous case and we use these concepts to establish various sufficient optimality conditions and mixed duality results for multiobjective variational problems. Our results apparently generalize a fairly large number of sufficient optimality conditions and duality results previously obtained for multiobjective variational problems.
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Hachimi, M., Aghezzaf, B. Sufficiency and Duality in Multiobjective Variational Problems with Generalized Type I Functions. J Glob Optim 34, 191–218 (2006). https://doi.org/10.1007/s10898-005-1653-2
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DOI: https://doi.org/10.1007/s10898-005-1653-2