Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces
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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, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Jamal Rezaei Roshan
- Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Abstract
In this paper, we introduce the notion of G-rational Geraghty contractive mappings in the setup of ordered
generalized b-metric 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.
Share and Cite
ISRP Style
Abdul Latif, Zoran Kadelburg, Vahid Parvaneh, Jamal Rezaei Roshan, Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1212--1227
AMA Style
Latif Abdul, Kadelburg Zoran, Parvaneh Vahid, Roshan Jamal Rezaei, Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(6):1212--1227
Chicago/Turabian Style
Latif, Abdul, Kadelburg, Zoran, Parvaneh, Vahid, Roshan, Jamal Rezaei. "Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1212--1227
Keywords
- Geraghty-type condition
- rational contractive condition
- ordered generalized b-metric space
- fixed point.
MSC
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