Výsledky vyhledávání - "Leśniewski, Krzysztof"

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Abadie condition for infinite programming problems under Relaxed Constant Rank Constraint Qualification Plus

Autor: Bednarczuk, Ewa M., Leśniewski, Krzysztof W., Rutkowski, Krzysztof E.

We consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions defined on Banach spaces. In the approach proposed here we represent the

Externí odkaz: http://arxiv.org/abs/2112.07460

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On tangent cone to systems of inequalities and equations in Banach spaces under relaxed constant rank condition

Autor: Bednarczuk, Ewa M., Leśniewski, Krzysztof W., Rutkowski, Krzysztof E.

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 represented as solution sets to systems of finite numbers of inequalitie

Externí odkaz: http://arxiv.org/abs/1905.05581

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On G\^ateaux differentiability of strongly cone paraconvex vector-valued mappings

Autor: Bednarczuk, Ewa, Leśniewski, Krzysztof

We investigate the G\^ateaux and Fr\^echet differentiabilities of strongly ${\alpha(\cdot)}$-$k$-paraconvex vector-valued mappings.

Externí odkaz: http://arxiv.org/abs/1804.02708

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On Directional Derivatives for cone-convex funtions

Autor: Leśniewski, Krzysztof

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.

Externí odkaz: http://arxiv.org/abs/1710.01510

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On the existence of directional derivatives for strongly cone-paraconvex mappings

Autor: Bednarczuk, Ewa, Leśniewski, Krzysztof

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.

Externí odkaz: http://arxiv.org/abs/1708.06654

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