Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces

Shahid Mehmood, Saif Ur Rehman, Ihsan Ullah, Rashad A. R. Bantan, Mohammed Elgarhy and Sun Young Cho

Journal of Mathematics, 2022, vol. 2022, 1-23

Abstract: In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive application of the three Urysohn type integral equations (UTIEs) for the validity of our result. The UTIEs are

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7454498

DOI: 10.1155/2022/7454498

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