Figueroa Sestelo, RubénLópez Pouso, RodrigoRodríguez López, Jorge2025-12-302025-12-302021Figueroa, R., López, R., Rodríguz-López, J. (2021). Degree theory for discontinuous operators. Fixed Point Theory, 22(1), 141-15610.24193/fpt-ro.2021.1.10https://hdl.handle.net/10347/44824We 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.engDegree theoryLeray-Schauder degreeDiscontinuous differential equationsjournal article2066-9208open access