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Approximately convex functions and approximately monotonic operators |
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| Authors: | Huynh Van Ngai Jean-Paul Penot |
| Institution: | 1. Department of Mathematics, Pedagogical University of Quynhon, 170 An Duong Vuong, Qui Nhon, Viet Nam;2. Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Faculté des Sciences, Av. de l’Université 64000 PAU, France |
| Abstract: | We present characterizations of some generalized convexity properties of functions with the help of a general subdifferential. We stress the case of lower semicontinuous functions. We also study the important case of marginal functions and we provide representation results. |
| Keywords: | Approximate convexity Approximate monotonicity Paraconvexity Semiconvexity Subdifferential |
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