Alexander Y. Kruger, D. Russell Luke, Nguyen H. Thao
Published 2016-11-15Version 1
We provide dual sufficient conditions for subtransversality of collections of sets in an Asplund space setting. For the convex case, we formulate a necessary and sufficient dual criterion of subtransversality in general Banach spaces. Our more general results suggest an intermediate notion of subtransversality, what we call weak intrinsic subtransversality, which lies between intrinsic transversality and subtransversality in Asplund spaces.
About uniform regularity of collections of sets
Extremality, Stationarity and Generalized Separation of Collections of Sets
On Error Bounds of Inequalities in Asplund Spaces
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