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Revisiting Interpolative Hardy--Rogers--Meir--Keeler Type Cyclic Contractions |
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PP: 15-20 |
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doi:10.18576/jant/140102
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Author(s) |
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Saurabh Manro,
Jaynendra Shrivas,
Rohit Kumar Verma,
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Abstract |
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| Motivated by the recent work of Kakkar, Shrivas and Singh on interpolative Hardy--Rogers--Meir--Keeler type contractions in complete metric spaces, we investigate their cyclic counterpart. We introduce a class of mappings called interpolative Hardy--Rogers--Meir--Keeler type cyclic contractions. For this class of cyclic mappings, we establish a fixed point result in complete metric spaces and derive conditions ensuring existence and uniqueness of fixed points. An application to a class of nonlinear Hammerstein integral equations is also given, together with an illustrative example. |
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