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DEGREE THEORY FOR DISCONTINUOUS OPERATORS.

Authors :
FIGUEROA, RUBÉN
LÓPEZ POUSO, RODRIGO
RODRÍIGUEZ-LÓPEZ, JORGE
Source :
Fixed Point Theory. 2021, Vol. 22 Issue 1, p141-156. 16p.
Publication Year :
2021

Abstract

We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first-order ODEs with discontinuous nonlinearities. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15835022
Volume :
22
Issue :
1
Database :
Academic Search Index
Journal :
Fixed Point Theory
Publication Type :
Academic Journal
Accession number :
148756078
Full Text :
https://doi.org/10.24193/fpt-ro.2021.1.10