Touching multifunctions on a Hilbert space
Functional Analysis
2022-03-02 v1
Abstract
We introduce the concept of the touching of two multifunctions on a real Hilbert space, and deduce that certain multifunctions on the space have a unique fixed point. These result are applied to the theory of genaralized cycles and generalized gap vectors for the composition of the projections onto a finite number of closed convex space in a real Hilbert space.
Cite
@article{arxiv.2203.00106,
title = {Touching multifunctions on a Hilbert space},
author = {Stephen Simons},
journal= {arXiv preprint arXiv:2203.00106},
year = {2022}
}
Comments
6 pages