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arXiv · 1507.07145

Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions

Sarah M. Moffat·Walaa M. Moursi·Xianfu Wang
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Abstract

Nearly convex sets play important roles in convex analysis, optimization and theory of monotone operators. We give a systematic study of nearly convex sets, and construct examples of subdifferentials of lower semicontinuous convex functions whose domain or ranges are nonconvex.

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Sarah M. Moffat, Walaa M. Moursi, Xianfu Wang. 2015-07-25. Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions. https://arxiv.org/abs/1507.07145

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