Abstract.
A new version of Krasnosel’skiĭ’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.
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Precup, R. A vector version of Krasnosel’skiĭ’s fixed point theorem in cones and positive periodic solutions of nonlinear systems. J. fixed point theory appl. 2, 141–151 (2007). https://doi.org/10.1007/s11784-007-0027-4
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DOI: https://doi.org/10.1007/s11784-007-0027-4