A fixed point theorem for monotone functions

DOI10.1016/J.AML.2006.01.008zbMath1179.54068OpenAlexW2070313620MaRDI QIDQ1031717

Håkan Persson

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.008

zbMATH Keywords

fixed pointdegree theorymonotone functionincreasing functionmultiple fixed points

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotonic functions, generalizations (26A48) Functions of several variables (26B99)

Related Items (7)

A non-variational approach to the existence of nonzero positive solutions for elliptic systems ⋮ Perturbed‐analytic direct transcription for optimal control (PADOC) ⋮ A positive fixed point theorem with applications to systems of Hammerstein integral equations ⋮ Existence of positive solutions fornth-order periodic difference equations ⋮ New criteria for the existence of non-trivial fixed points in cones ⋮ Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselskii's fixed point theorem ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems

Cites Work

• Input-Output Analysis with Scale-Dependent Coefficients
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