Subdifferential calculus and ideal solutions for set optimization problems

We explore the possibility to derive basic calculus rules for some subdifferential constructions associated to set-valued maps between normed vector spaces. Then, we use these results in order to write optimality conditions for a special kind of solutions for set optimization problems.

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Authors: Durea, Marius, Elena-Andreea Florea
Format: Article
Language:English
Subjects:
Optimization
Vector spaces
Online Access:Get full text
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Description
Summary:We explore the possibility to derive basic calculus rules for some subdifferential constructions associated to set-valued maps between normed vector spaces. Then, we use these results in order to write optimality conditions for a special kind of solutions for set optimization problems.
ISSN:2331-8422