Tuesday, 13:45 - 14:10 h, Room: H 2051

 

Radu Strugariu
Metric regularity and subregularity of set-valued mappings with applications to vector optimization

 

Abstract:
This presentation is devoted to the investigation of different types of regularity for set-valued mappings, with applications to the study of the well-posedness of the solution mappings associated to parametric variational systems. We present some general theorems concerning chain rules for linear openness of multifunctions and we obtain, as particular cases, some classical and also some new results in this field of research, including the celebrated Lyusternik Graves Theorem. Also, we classify the at-point regularities (or subregularities) of set-valued mappings into two categories and then we analyze their relationship. After that, we show how to use the subregularity properties to deduce implicit theorems for set-valued maps. Finally, we present some applications to the study of multicriteria optimization problems.

 

Talk 2 of the invited session Tue.2.H 2051
"Regularity and sensitivity in multicriteria optimization" [...]
Cluster 24
"Variational analysis" [...]

 

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