On Subregularity Properties of Set-Valued Mappings. Applications to   Solid Vector Optimization
  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. 
Marius Apetrii, Marius Durea and Radu Strugariu
math.OC math.FA