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math.CA2017
A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez-López
We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order…
math.CA2017
Degree theory for discontinuous operators
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez López
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 s…