Almost biased mappings and almost compatible mappings are equivalent under some condition |
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Authors: | Tomonari Suzuki Hemant Kumar Pathak |
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Institution: | a Department of Basic Sciences, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan b School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010, India |
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Abstract: | The concepts of almost biased mappings and almost compatible mappings are introduced. Some variants of these concepts are also discussed. A common fixed point theorem for a pair of almost I-biased mappings in metric spaces is proved under certain condition. In the sequel, it is shown that almost biased mappings and almost compatible mappings are equivalent under some condition. |
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Keywords: | Fixed point Compatible mappings Biased mappings |
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