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

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Authors

Nazam, Muhammad
Arshad, Muhammad
Abbas, Mujahid

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Universidad Politécnica de Valencia

Abstract

Following the approach of F-contraction introduced byWardowski [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 ex- ample, that improved F-contraction is more general than F- contrac- tion 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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Fixed point, Improved F-contraction, Integral equations, Partial metric

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Citation

Nazam, M., Arshad, M. & Abbas, M. 2017, 'Existence of common fixed points of improved F-contraction on partial metric spaces', Applied General Topology, vol. 18, no. 2, pp. 277-287.