Compression-expansion fixed point theorem in two norms and applications |
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| Authors: | Donal O'Regan |
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| Affiliation: | a Department of Mathematics, National University of Ireland, Galway, Ireland
b Department of Applied Mathematics, Babe?-Bolyai University, Cluj, Romania |
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| Abstract: | In this paper we present a two-norms version of Krasnoselskii's fixed point theorem in cones. The abstract result is then applied to prove the existence of positive Lp solutions of Hammerstein integral equations with better integrability properties on the kernels. |
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| Keywords: | Positive solution Integral equation Fixed point theorem in cones |
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