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Fixed point approaches for cyclic contraction mappings in C∗-algebra-valued b-metric spaces |
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PP: 19-37 |
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Author(s) |
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Rashwan A. Rashwan,
Saleh Omran,
Hasanen A. Hammad,
Mohamed Gamal,
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Abstract |
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| In this manuscript, we concentrated on extracting some fixed point results for cyclic contraction mappings under mild contractive conditions in the context of C∗-algebra. These results are considered a generalization and extension of some results in the scientific literature such as the results of Banach, Kannan and Chatterjea in the setting of C∗-algebra valued b-metric spaces. We present some definitions, supportive examples and an application related to nonlinear integral equation to support our main results.
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