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

DOI10.1186/1687-1812-2013-125zbMath1428.47017OpenAlexW2161298172WikidataQ59300419 ScholiaQ59300419MaRDI QIDQ2252661

Alberto Cabada, José Ángel Cid, Gennaro Infante

Publication date: 22 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-125

zbMATH Keywords

multiplicitypositive solutionsconical shellsKrasnosel'skiĭ fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (9)

New fixed point theorem for discontinuous operators in cones and applications ⋮ A non-variational approach to the existence of nonzero positive solutions for elliptic systems ⋮ Multiplicity of positive solutions to second-order singular differential equations with a parameter ⋮ A positive fixed point theorem with applications to systems of Hammerstein integral equations ⋮ Existence of positive periodic solutions of some nonlinear fractional differential equations ⋮ Positive solutions of a discontinuous one-dimensional beam equation ⋮ Existence of solutions of nonlinear and non-local fractional boundary value problems ⋮ Positive solutions of a fourth-order differential equation with multipoint boundary conditions ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems

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