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

Authors

  • A. Prusińska
  • A. Tret’yakov

Abstract

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:XY is singular at some point x0, where X and Y are Banach spaces, if Im F(x0)Y. Otherwise, the mapping F is said to be regular.

Published

25.08.2015

Issue

Section

Research articles

How to Cite

Prusińska, A., and A. Tret’yakov. “p-Regularity Theory. Tangent Cone Description in the Singular Case”. Ukrains’kyi Matematychnyi Zhurnal, vol. 67, no. 8, Aug. 2015, pp. 1097-06, https://umj.imath.kiev.ua/index.php/umj/article/view/2048.