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arXiv · 2302.08986

Near Convexity and Generalized Differentiation

Nguyen Mau Nam·Nguyen Nang Thieu·Nguyen Dong Yen
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Abstract

In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approach for generalized differentiation of nearly convex set-valued mappings and nearly convex functions. Our contributions expand the current knowledge of nearly convex sets and functions, while providing several new results pertaining to nearly convex set-valued mappings.

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Nguyen Mau Nam, Nguyen Nang Thieu, Nguyen Dong Yen. 2023-02-17. Near Convexity and Generalized Differentiation. https://arxiv.org/abs/2302.08986

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