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

Muhammad Nazam, Muhammad Arshad, Mujahid Abbas


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.


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

Subject classification

47H10; 47H04; 54H25

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Universitat Politècnica de València

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