A fixed-point theorem for local operators with applications to stochastic equations
Probability
2022-08-02 v1 Functional Analysis
Abstract
We study weak and strong solutions of nonlinear non-compact operator equations in abstract spaces of adapted random points. The main result of the paper is similar to Schauder's fixed-point theorem for compact operators. The illustrative examples explain how this analysis can be applied to stochastic differential equations.
Cite
@article{arxiv.2208.00674,
title = {A fixed-point theorem for local operators with applications to stochastic equations},
author = {Arcady Ponosov},
journal= {arXiv preprint arXiv:2208.00674},
year = {2022}
}