F-HR-type contractions on (\(\alpha,\eta\))-complete rectangular b-metric spaces
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Authors
Nawab Hussain
- Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Vahid Parvaneh
- Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Badria A. S. Alamri
- 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.
Abstract
The aim of this paper is to present some fixed point results for generalized Wardowski-type contractions in the framework
of (\(\alpha,\eta\))-complete rectangular b-metric spaces. We also derive certain fixed point results for generalized F-contractions in
rectangular b-metric spaces endowed with a graph or a partial order. Moreover, an illustrative example is presented to support
the obtained results.
Share and Cite
ISRP Style
Nawab Hussain, Vahid Parvaneh, Badria A. S. Alamri, Zoran Kadelburg, F-HR-type contractions on (\(\alpha,\eta\))-complete rectangular b-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1030--1043
AMA Style
Hussain Nawab, Parvaneh Vahid, Alamri Badria A. S., Kadelburg Zoran, F-HR-type contractions on (\(\alpha,\eta\))-complete rectangular b-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(3):1030--1043
Chicago/Turabian Style
Hussain, Nawab, Parvaneh, Vahid, Alamri, Badria A. S., Kadelburg, Zoran. "F-HR-type contractions on (\(\alpha,\eta\))-complete rectangular b-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1030--1043
Keywords
- b-metric space
- rectangular metric space
- Hardy-Rogers condition
- F-contraction
- admissible mappings
- property P.
MSC
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