3 papers
math.OC2019
On tangent cone to systems of inequalities and equations in Banach spaces under relaxed constant rank condition
Ewa M. Bednarczuk, Krzysztof W. Leśniewski, Krzysztof E. Rutkowski
Under the relaxed constant rank condition, introduced by Minchenko and Stakhovski, we prove that the linearized cone is contained in the tangent cone (Abadie condition) for sets re…
math.OC2018
On Gâteaux differentiability of strongly cone paraconvex vector-valued mappings
Ewa Bednarczuk, Krzysztof Leśniewski
We investigate the Gâteaux and Frêchet differentiabilities of strongly --paraconvex vector-valued mappings.
math.OC2017
On the existence of directional derivatives for strongly cone-paraconvex mappings
Ewa Bednarczuk, Krzysztof Leśniewski
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 concernin…