Existence of common fixed points of improved F-contraction on partial metric spaces


  • Muhammad Nazam International Islamic University
  • Muhammad Arshad International Islamic University
  • Mujahid Abbas University of Pretoria




fixed point, improved F-contraction, integral equations, complete partial metric space


Following the approach of F-contraction introduced by Wardowski [13], in this paper, we introduce improved F-contraction of rational type in the framework of partial metric spaces and used it to obtain a common fixed point theorem for a pair of self mappings. We show, through example, that improved F-contraction is more general than F-contraction and guarantees fixed points in those cases where F-contraction fails to provide. Moreover, we apply this fixed point result to show the existence of common solution of the system of integral equations.


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Author Biographies

Muhammad Nazam, International Islamic University

Department of Mathematics and Statistics

Muhammad Arshad, International Islamic University

Department of Mathematics and Statistics

Mujahid Abbas, University of Pretoria

Department of Mathematics and Applied Mathematics


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How to Cite

M. Nazam, M. Arshad, and M. Abbas, “Existence of common fixed points of improved F-contraction on partial metric spaces”, Appl. Gen. Topol., vol. 18, no. 2, pp. 277–287, Oct. 2017.



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