On inverses of $\delta $-convex mappings

Jakub Duda

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Displaying similar documents to “On inverses of $δ$ -convex mappings”

On vector functions of bounded convexity

Libor Veselý, Luděk Zajíček (2008)

Mathematica Bohemica

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Let $X$ be a normed linear space. We investigate properties of vector functions $F : [a, b] \to X$ of bounded convexity. In particular, we prove that such functions coincide with the delta-convex mappings admitting a Lipschitz control function, and that convexity $K_{a}^{b} F$ is equal to the variation of $F_{+}^{'}$ on $[a, b)$ . As an application, we give a simple alternative proof of an unpublished result of the first author, containing an estimate of convexity of a composed mapping.

A note on singular points of convex functions in Banach spaces

Luděk Zajíček (1993)

Acta Universitatis Carolinae. Mathematica et Physica

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Displaying similar documents to “On inverses of δ -convex mappings”

On vector functions of bounded convexity

A note on singular points of convex functions in Banach spaces

Displaying similar documents to “On inverses of $δ$ -convex mappings”