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22 March 2025

» arxiv » 2208.00674

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A fixed-point theorem for local operators with applications to stochastic equations
Arcady Ponosov ;
Date:	1 Aug 2022
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.
Source:	arXiv, 2208.00674
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