The convexity properties, without vector space structure are intensively used in the optimization theory. Since Ky Fan [1] has proved the first minimax theorem for concave-convexlike functions, several authors have proposed other extensions or generalizations of the convexity. In this paper we consider new properties and considerations on a new generalization of the Kuhn-Tucker theorem proposing some remarks and examples

Optimization theory with generalized convexity

CARISTI, Giuseppe
2007-01-01

Abstract

The convexity properties, without vector space structure are intensively used in the optimization theory. Since Ky Fan [1] has proved the first minimax theorem for concave-convexlike functions, several authors have proposed other extensions or generalizations of the convexity. In this paper we consider new properties and considerations on a new generalization of the Kuhn-Tucker theorem proposing some remarks and examples
2007
9788392465645
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1835973
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