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On Lipschitz continuity of projections onto polyhedral moving sets
Ewa M. Bednarczuk, Krzysztof E. Rutkowski
In Hilbert space setting we prove local lipchitzness of projections onto parametric polyhedral sets represented as solutions to systems of inequalities and equations with parameter…
On Lipschitz-like continuity of a class of set-valued mappings
Ewa M. Bednarczuk, Leonid I. Minchenko, Krzysztof E. Rutkowski
We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed const…
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…