New fixed point theorem for discontinuous operators in cones and applications

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2020_z. anal_rodríguez_new_fixed.pdf (369.09 KB)
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URI: https://hdl.handle.net/10347/44602
ISSN: 0232-2064

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2020

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European Mathematical Society
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Abstract

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.

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Fixed point index theory| Krasnosel’ski˘ı theorem| Discontinuous differential equations| Fourth order problem

Bibliographic citation

Jorge Rodríguez-López, New Fixed Point Theorem for Discontinuous Operators in Cones and Applications. Z. Anal. Anwend. 39 (2020), no. 2, pp. 131–150

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Estatística, Análise Matemática e Optimización