Suzuki type theorems for asymmetric type mappings


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.


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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


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