Abstract
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.
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Fixed point; cone; positive solution; differential system; periodic solution.
Paper coordinates
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
About this paper
Journal
Journal fixed point theory appl.
Publisher Name
Birkhauser Verlag Basel/Switzerland
Print ISSN
Online ISSN
1661-7738/010141-11
google scholar link
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