Three kinds of generalized convexity |
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| Authors: | X M Yang S Y Liu |
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| Institution: | (1) Department of Mathematics, Chongqing Normal University, Chongqing, People's Republic of China;(2) Department of Applied Mathematics, Xidian University, Xian, People's Republic of China |
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| Abstract: | This paper gives some properties of quasiconvex, strictly quasiconvex, and strongly quasiconvex functions. Relationships between them are discussed.This research was supported in part by the National Natural Science Foundation of China. The author would like to thank Professor M. Avriel for valuable comments about this paper. |
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| Keywords: | Quasiconvex functions strongly quasiconvex functions strictly quasiconvex functions lower semicontinuous function convex sets |
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