Stability analysis for set-valued optimization in Geoffroy spaces
Optimization and Control
2025-03-06 v1 General Topology
Abstract
In this work, we study the external and internal stability of minimal solutions to set-valued optimization problems in a new functional framework. We consider perturbations on both the objective function and the admissible domain. To address these problems, we introduce two variational convergences for sequences of set-valued maps, namely the Gamma-cone convergence and the sequential Gamma-cone convergence. The upper and the lower convergence of strong level sets are also studied.
Cite
@article{arxiv.2503.03405,
title = {Stability analysis for set-valued optimization in Geoffroy spaces},
author = {James Larrouy},
journal= {arXiv preprint arXiv:2503.03405},
year = {2025}
}
Comments
19 pages