On Subregularity Properties of Set-Valued Mappings. Applications to Solid Vector Optimization

2012/01/24 by Marius Apetrii, Apetrii, Marius, Marius Durea +3
Mathematics · #49J52 #49J53 #90C30 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #math.FA #math.OC #msc:49J52 #msc:49J53 #msc:90C30

paper · pdf · doi:10.48550/arxiv.1201.4962

arxiv created 2012/02/06 · arxiv updated 2012/02/07

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.

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