$p$-Regularity Theory. Tangent Cone Description in the Singular Case

• Date: 2015
• Main Authors: Prusińska, A., Tret’yakov, A., Прусінска, А., Третьяков, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2048
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a new proof of the theorem which is one of the main results of the $p$-regularity theory. This gives us a detailed description of the structure of the zero set of a singular nonlinear mapping. We say that $F : X → Y$ is singular at some point $x_0$, where $X$ and $Y$ are Banach spaces, if...