Subdifferential Calculus for Ordered Set-Valued Mappings between Infinite-Dimensional Spaces
Optimization and Control
2024-10-16 v1
Abstract
The paper is devoted to developing subdifferential theory for set-valued mappings taking values in ordered infinite-dimensional spaces. This study is motivated by applications to problems of vector and set optimization with various constraints in infinite dimensions. The main results establish new sum and chain rules for major subdifferential constructions associated with ordered set-valued mappings under appropriate qualification and sequentially normal compactness conditions.
Cite
@article{arxiv.2410.11362,
title = {Subdifferential Calculus for Ordered Set-Valued Mappings between Infinite-Dimensional Spaces},
author = {Boris S. Mordukhovich and Oanh Nguyen},
journal= {arXiv preprint arXiv:2410.11362},
year = {2024}
}