Sufficiency and Duality in Multiobjective Variational Problems with Generalized Type I Functions
Recently Hachimi and Aghezzaf introduced the notion of (F, a, p, 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, a, p, d)-type I and generalized (F, a, p, d)-type I functions to the continuous case and w...
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| Veröffentlicht in: | Journal of global optimization 2006-02, Vol.34 (2), p.191-218 |
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| container_title | Journal of global optimization |
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| creator | Hachimi, Mohamed Aghezzaf, Brahim |
| description | Recently Hachimi and Aghezzaf introduced the notion of (F, a, p, 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, a, p, d)-type I and generalized (F, a, p, 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. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1007/s10898-005-1653-2 |
| format | Article |
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| source | SpringerNature Journals |
| subjects | Mathematical functions Optimization Studies |
| title | Sufficiency and Duality in Multiobjective Variational Problems with Generalized Type I Functions |
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