On Gâteaux differentiability of strongly cone paraconvex vector-valued mappings
We investigate the Gâteaux and Frêchet differentiabilities of strongly ${α(\cdot)}$-$k$-paraconvex vector-valued mappings.
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arXiv subjects
Krzysztof Leśniewski
Publications and source records attributed to Krzysztof Leśniewski.
On the existence of directional derivatives for strongly cone-paraconvex mappings
In the present paper we investigate the existence of directional derivatives for strongly cone-paraconvex mappings. Our result is a counterpart of the theorem of Valadier concerning directional differentiability of cone convex mappings.
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On Directional Derivatives for cone-convex funtions
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.
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