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…