Séminaire Modélisation, Optimisation, Dynamique

Near Convexity and Generalized Differentiation

par M. Dong Yen Nguyen

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XLIM1 (XLIM)

XLIM1

XLIM

FST-Université de Limoges 123 Av. Albert Thomas, 87000 Limoges
Description

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 involving nearly convex set-valued mappings