Journal of Convex Analysis 27 (2020), No. 1, 019--030
Copyright Heldermann Verlag 2020
Sufficient Condition for Tangential Transversality
Stoyan R. Apostolov
Faculty of Mathematics and Informatics, University of Sofia, 1126 Sofia, Bulgaria
stoyanrapostolov@gmail.co
Mikhail I. Krastanov
Faculty of Mathematics and Informatics, University of Sofia, 1126 Sofia
and: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
krast@math.bas.bg
Nadezhda K. Ribarska
Faculty of Mathematics and Informatics, University of Sofia, 1126 Sofia
and: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
ribarska@fmi.uni-sofia.bg
A general sufficient condition for tangential transversality is proved. The underlying idea is that in many cases the uniformness of the local approximation of a closed set can be used instead of some suitable compactness assumption.
Keywords: Subtransversality, Aubin property, tangential transversality.
MSC: 49K27, 35F25, 46N10.
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