Fixed point theorems for F- contraction mapping in complete rectangular M-metric space




Fixed point, F-contraction, rectangular M-metric space, integral equation


In this paper, we prove a fixed point result for F- contraction principle in the framework of rectangular M-metric space. An example is also adopted to exhibit the utility of our result. Finally, we apply our fixed point result to show the existence of solution of Fredholm integral equation.


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Author Biographies

Mohammad Asim, Shree Guru Gobind Singh Tricentenary University

Department of Mathematics, Faculty of Science

Samad Mujahid, Jamia Millia Islamia

Department of Mathematics

Izhar Uddin, Jamia Millia Islamia

Department of Mathematics


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How to Cite

M. Asim, S. Mujahid, and I. Uddin, “Fixed point theorems for F- contraction mapping in complete rectangular M-metric space”, Appl. Gen. Topol., vol. 23, no. 2, pp. 363–376, Oct. 2022.