A generalization of Mizoguchi and Takahashi’s theorem for single-valued mappings in partially ordered metric spaces |
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| Authors: | ME Gordji M Ramezani |
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| Institution: | Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Iran |
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| Abstract: | We present a generalization of Mizoguchi and Takahashi’s fixed point theorem for single-valued mappings in partially ordered metric spaces. As an application of the main result, we give an existence and uniqueness theorem for the solution of a periodic boundary value problem. |
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| Keywords: | 54H25 |
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