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Received November 14, 2018; Accepted February 6, 2019; Published February 25, 2019
Abstract. In this paper, we introduce weakly increasing F-contractions on an ordered partial metric space and establish a common fixed point theorem for weakly increasing F-contractions. This result generalizes some recent results on F-contractions. We give an example showing the significance of our main theorem. We also show that our main result can be applied to the existence of solutions of an implicit integral equation.
How to Cite this Article:
Muhammad Nazam, Ismat Beg, Muhammad Arshad, Common fixed points of weakly increasing F-contractions on ordered partial metric spaces, Communications in Optimization Theory, Vol. 2019 (2019), Article ID 3, pp. 1-13.