Some fixed point theorems for Grational Geraghty contractive mappings in ordered generalized bmetric spaces
Authors
Abdul Latif
 Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Zoran Kadelburg
 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia.
Vahid Parvaneh
 Department of Mathematics, GilanEGharb Branch, Islamic Azad University, GilanEGharb, Iran.
Jamal Rezaei Roshan
 Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Abstract
In this paper, we introduce the notion of Grational Geraghty contractive mappings in the setup of ordered
generalized bmetric spaces and investigate the existence of fixed points for such mappings. We also provide
an example to illustrate the presented results and show that they are more general then some existing ones.
Keywords
 Geraghtytype condition
 rational contractive condition
 ordered generalized bmetric space
 fixed point.
MSC
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