Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations

In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on. By the new subdifferential and its properties, we establish a necessary and sufficient optimality condition of set-based robust efficient solution...

Full description

Bibliographic Details
Main Authors: Yuwen Zhai, Qilin Wang, Tian Tang
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/11/11/648