Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations |
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| Authors: | J Harjani K Sadarangani |
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| Institution: | Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain |
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| Abstract: | The purpose of this paper is to present some fixed point theorems in a complete metric space endowed with a partial order by using altering distance functions. We also present some applications to first and second order ordinary differential equations. |
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