Abstract
In this paper, new classes of rational Geraghty contractive mappings in the setup of b-metric spaces are introduced. Moreover, the existence of some fixed point for such mappings in ordered b-metric spaces are investigated. Also, some examples are provided to illustrate the results presented herein. Finally, an application of the main result is given. MSC:47H10, 54H25.
Highlights
Using different forms of contractive conditions in various generalized metric spaces, there is a large number of extensions of the Banach contraction principle [ ]
Azam et al [ ] established some fixed point results for a pair of rational contractive mappings in complex valued metric spaces
In [ ], Nashine et al proved some common fixed point theorems for a pair of mappings satisfying certain rational contractions in the framework of complex valued metric spaces
Summary
Using different forms of contractive conditions in various generalized metric spaces, there is a large number of extensions of the Banach contraction principle [ ]. In [ ], some fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in various generalized metric spaces.
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