The Random Version of the Kirzbraun–Valentine Extension Theorem
✍ Scribed by Naseer Shahzad
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 181 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We obtain a measurable Kirzbraun᎐Valentine extension theorem. As applications, we prove a random approximation theorem and a random fixed point theorem. Our results extend several earlier ones existing in the literature.
📜 SIMILAR VOLUMES
In this paper, first we make a maximal extension of the well-known Gauss-Markov Theorem (GMT) in its linear framework. In particular, the maximal class of distributions of error term for which the GMT holds is derived. Second, we establish a nonlinear version of the maximal GMT and describe some int
The Preiss differentiability theorem for Lipschitz functions on Banach spaces is generalized to locally lower (upper) semi-Lipschitz functions, and several extensions are presented. 1994 Academic Press, Inc.