Motivated by important applications, the theory of mathematical programming has been extended to the case of infinitely many restrictions. At the same time, this theory knew remarcable developments since invexity and its further generalizations have been introduced as substitute of convexity. Here, we consider the multiobjective programming with a set of restrictions indexed in a compact. We obtain optimality criteria of Kuhn-Tucker type under new weaker invexity conditions. Also some dual probles are introduced and it is proved that the weak and strong duality properties hold within the same environement.

Semi-infinite multiobjective programming with generalized invexity

FERRARA, Massimiliano
Methodology
;
2010

Abstract

Motivated by important applications, the theory of mathematical programming has been extended to the case of infinitely many restrictions. At the same time, this theory knew remarcable developments since invexity and its further generalizations have been introduced as substitute of convexity. Here, we consider the multiobjective programming with a set of restrictions indexed in a compact. We obtain optimality criteria of Kuhn-Tucker type under new weaker invexity conditions. Also some dual probles are introduced and it is proved that the weak and strong duality properties hold within the same environement.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/7243
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