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On directional derivatives for cone-convex functions

Authors: Krzysztof Leśniewski;

On directional derivatives for cone-convex functions

Abstract

We investigate the relationship between the existence of directional derivatives for cone-convex functions with values in a Banach space Y and isomorphisms between Y and c0.

Related Organizations
Keywords

Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, convex mappings, Nonsmooth analysis, cone convex mappings, isomorphism with $c_0$, cone isomorphism, Optimization and Control (math.OC), FOS: Mathematics, convex operators, directional derivative, Mathematics - Optimization and Control, Ordered normed spaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green