Suzuki type theorems for asymmetric type mappings
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Authors
M. Paknazar
- Department of Mathematics, Farhangian University, Iran..
M. A. Kutbi
- Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
M. Demma
- Università degli Studi di Palermo, Italy.
P. Salimi
- Young Researchers and Elite Club, Islamic Azad University--Rasht Branch, Rasht, Iran.
Abstract
We introduce a modified asymmetric \(G^\bigstar(\psi\varphi)\)-contractive mapping with respect to a general family of
functions \(G^*\) and establish asymmetric type fixed point results for such mappings. As an application of
our results, we deduce Suzuki type fixed point results via these mappings. We also derive certain fixed
point results for asymmetric type mappings in partial G-metric spaces. Moreover, we discuss an illustrative
example to highlight the realized improvements.
Share and Cite
ISRP Style
M. Paknazar, M. A. Kutbi, M. Demma, P. Salimi, Suzuki type theorems for asymmetric type mappings, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 845--859
AMA Style
Paknazar M., Kutbi M. A., Demma M., Salimi P., Suzuki type theorems for asymmetric type mappings. J. Nonlinear Sci. Appl. (2016); 9(3):845--859
Chicago/Turabian Style
Paknazar, M., Kutbi, M. A., Demma, M., Salimi, P.. "Suzuki type theorems for asymmetric type mappings." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 845--859
Keywords
- G-metric space
- partial G-metric space
- fixed point
- Suzuki fixed point theorem.
MSC
References
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