A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications

Lucas Wangwe, Santosh Kumar, Alberto Fiorenza
2021 Abstract and Applied Analysis  
This paper is aimed at proving a common fixed point theorem for F -Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results.
doi:10.1155/2021/6619877 fatcat:coe6njbaljbi7gmkq3kxug7tlq