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

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....

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Bibliographic Details
Published in:Mathematics (Basel) 2023-12, Vol.11 (24), p.4875
Main Authors: Shammaky, Amnah Essa, Ahmad, Jamshaid
Format: Article
Language:English
Subjects:
common fixed point
complex valued extended b-metric space
control functions
Inequality
Integral equations
Metric space
Theorems
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11244875