Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2020-04-07
New Fixed Point Theorem for Discontinuous Operators in Cones and ApplicationsJorge Rodríguez-López (1) Universidade de Santiago de Compostela, Spain
We provide new fixed point theorems for a class of discontinuous operators by combining a new fixed point theorem of compression-expansion type for these discontinuous operators with monotone iterative methods. As an application we study the existence of positive solutions for a nonlinear fourth-order discontinuous boundary value problem.
Keywords: Fixed point index theory, Krasnosel'skiitheorem, discontinuous differential equations, fourth order problem
Rodríguez-López Jorge: New Fixed Point Theorem for Discontinuous Operators in Cones and Applications. Z. Anal. Anwend. 39 (2020), 131-150. doi: 10.4171/ZAA/1654