A characterization of Clarke’s strict tangent cone via nonlinear semigroups
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- by Jean-Paul Penot PDF
- Proc. Amer. Math. Soc. 93 (1985), 128-132 Request permission
Abstract:
Clarke’s strict tangent cone $T_X^ \uparrow (a)$ at $a \in X$ to a closed subset of a Banach space $E$ is shown to contain the limit inferior of tangent cones ${T_X}(x)$ to $X$ at $x$ as $x \to a$, $x \in X$. Several characterizations of $T_X^ \uparrow (a)$ are presented. As a consequence various tangential and subtangential conditions for continuous vector fields on $X$ are shown to be equivalent.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 128-132
- MSC: Primary 90C48; Secondary 49A52
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766542-6
- MathSciNet review: 766542