Near Convexity and Generalized Differentiation

par M. Dong Yen Nguyen

vendredi 22 sept. 2023, 11:00 → 12:00 Europe/Paris

XLIM1 (XLIM)

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