Application of Fixed Point Result in Complex Valued Extended b -Metric Space

Amnah Essa Shammaky and Jamshaid Ahmad ()
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Amnah Essa Shammaky: Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia
Jamshaid Ahmad: Department of Mathematics and Statistics, College of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 24, 1-20

Abstract: The aim of the present research work is to investigate the solution of Urysohn integral equation by common fixed point result in the setting of complex valued b -metric space. To obtain the objective, we used a generalized rational contraction involving control functions and a pair of self-mappings. In this way, we generalize some well-known results of literature. Some non-trivial examples are also flourished to demonstrate the innovation of our principal result.

Keywords: common fixed point; complex valued extended b-metric space; control functions; integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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