A Generalized Metric Space And Related Fixed Point Theorems |
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BibTeX: |
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@article{IJIRSTV3I6007, |
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Abstract: |
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We introduce a new concept of generalized metric spaces and extend some well-known related fixed point theorems including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and RodrÃguez-López. This new concept of generalized metric spaces and extend some well-known related fixed point theorems recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces. |
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Keywords: |
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metric spaces, b-metric spaces, dislocated metric spaces, modular space, fixed point partial order |
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