Fixed points of ordered F-contractions

Authors : Gonca DURMAZ, Gülhan MINAK, İshak ALTUN

Pages : 15-21

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Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :In his recent paper, Wardowski [16] introduced the concept of Fcontraction, which is a proper generalization of ordinary contraction on a complete metric space. Then, some generalizations of F-contractions including multivalued case are obtained in [2, 4, 7, 13]. In this paper, by considering both F-contractions and fixed point result on ordered metric spaces, we introduce a new concept of ordered F-contraction on ordered metric space. Then, we give a fixed point theorem for such mapping. To support our result, we give an example showing that our main theorem is applicable, but both results of Ran and Reurings [12] and Wardowski [16] are not. 
Keywords : Fixed point, F contraction, ordered F contraction, Complete metric space