Near Convexity and Generalized Differentiation
Optimization and Control
2023-02-20 v1
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.
Cite
@article{arxiv.2302.08986,
title = {Near Convexity and Generalized Differentiation},
author = {Nguyen Mau Nam and Nguyen Nang Thieu and Nguyen Dong Yen},
journal= {arXiv preprint arXiv:2302.08986},
year = {2023}
}