New criteria for the existence of non-trivial fixed points in cones

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2013_FixPoTheApp_Cabada_Criteria.pdf (297.18 KB)
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URI: https://hdl.handle.net/10347/45949
E-ISSN: 2730-5422
DOI: 10.1186/1687-1812-2013-125

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2013-05-13

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Springer
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Abstract

We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers

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Krasnosel’skii fixed point theorem| Positive solutions| Conical shells| Multiplicity

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Cabada, A., Cid, J.Á. & Infante, G. New criteria for the existence of non-trivial fixed points in cones. Fixed Point Theory Appl 2013, 125 (2013). https://doi.org/10.1186/1687-1812-2013-125

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Alberto Cabada and José Ángel Cid were partially supported by Ministerio de Educación y Ciencia, Spain, and FEDER, Project MTM2010-15314. This paper was partially written during the visit of Gennaro Infante to the Departamento de Análise Matemática of the Universidade de Santiago de Compostela. Gennaro Infante is grateful to the people of the aforementioned Departamento for their kind and warm hospitality

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Estatística, Análise Matemática e Optimización
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)