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Convexifactors, generalized convexity, and optimality conditions (Q700700)

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scientific article; zbMATH DE number 1812447
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Convexifactors, generalized convexity, and optimality conditions
scientific article; zbMATH DE number 1812447

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    Convexifactors, generalized convexity, and optimality conditions (English)
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    8 October 2002
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    The authors make use of the concept of convexificators which was introduced by \textit{V. Jeyakumar} and \textit{D. T. Luc} [J. Optimization Theory Appl. 101, No. 3, 599--621 (1999; Zbl 0956.90033)] to establish some characterizations of quasiconvex and pseudoconvex functions. They prove also a rule for calculating a convexificator of a max function, and derive optimality conditions for inequality constrained programming problems.
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    convexificator
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    generalized convexity
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    constrained programming problem
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