On strong tangential transversality
Mira Bivas, Mikhail Krastanov, Nadezhda Ribarska
TL;DR
This paper introduces the concept of strong tangential transversality in Banach spaces, providing sufficient conditions for tangential transversality, exploring properties of uniform tangent sets, and establishing a new sum rule for the Clarke subdifferential.
Contribution
It defines strong tangential transversality, links it to tangential transversality, and proves a novel sum rule for Clarke subdifferential in Banach spaces.
Findings
Defined strong tangential transversality as a natural sufficient condition.
Established properties of uniform tangent sets.
Proved a new sum rule for Clarke subdifferential.
Abstract
This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which is a natural sufficient condition for tangential transversality. Some properties of uniform tangent sets are obtained. A new sum rule for the Clarke subdifferential is proven.
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