A vector version of Krasnoselskii’s fixed point theorem in cones and positive periodic solutions of nonlinear systems


A new version of Krasnoselskiı’s fixed point theorem in cones is established for systems of operator equations, where the compression-expansion conditions are expressed on components. In applications, this allows the nonlinear term of a system to have different behaviors both in components and in variables.


Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Fixed point; cone; positive solution; differential system; periodic solution.

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R. Precup, A vector version of Krasnoselskii’s fixed point theorem in cones and positive periodic solutions of nonlinear systems, J. Fixed Point Theory Appl., 2 (2007) no. 1, 141-151, http://dx.doi.org/10.1007/s11784-007-0027-4


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Journal fixed point theory appl.

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Birkhauser Verlag Basel/Switzerland

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