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 examplesFile in questo prodotto:
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