Fixed point theorem of Leggett-Williams type and its application |
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| Authors: | Miros?awa Zima |
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| Affiliation: | Institute of Mathematics, University of Rzeszów, Rejtana 16 A, 35-310 Rzeszów, Poland |
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| Abstract: | We establish a norm-type cone expansion and compression fixed point theorem for completely continuous operators. Our theorem is then applied to prove the existence of positive solution of second order three-point boundary value problem. |
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| Keywords: | Positive solution Fixed point theorem Cone |
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