Note on generalized convex functions |
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Authors: | Y. Tanaka |
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Affiliation: | (1) Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University, Kyoto, Japan |
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Abstract: | In this note, an important class of generalized convex functions, called invex functions, is defined under a general framework, and some properties of the functions in this class are derived. It is also shown that a function is (generalized) pseudoconvex if and only if it is quasiconvex and invex. |
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Keywords: | Generalized convexity global minima nonsmooth nonconvex functions |
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