On Subregularity Properties of Set-Valued Mappings. Applications to Solid Vector Optimization
Optimization and Control
2012-02-07 v2 Functional Analysis
Abstract
In this work we classify the at-point regularities of set-valued mappings into two categories and then we analyze their relationship through several implications and examples. After this theoretical tour, we use the subregularity properties to deduce implicit theorems for set-valued maps. Finally, we present some applications to the study of multicriteria optimization problems.
Cite
@article{arxiv.1201.4962,
title = {On Subregularity Properties of Set-Valued Mappings. Applications to Solid Vector Optimization},
author = {Marius Apetrii and Marius Durea and Radu Strugariu},
journal= {arXiv preprint arXiv:1201.4962},
year = {2012}
}