Common fixed points via implicit contractions on b-metric-like spaces
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Authors
Hassen Aydi
- Department of Mathematics, College of Education of Jubail, Imam Abdulrahman Alfaisal University, P. O: 12020, Industrial Jubail 31961, Saudi Arabia.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
Abdelbasset Felhi
- Department of Mathematics and Statistics, College of Sciences, King Faisal University, Hafouf, Saudi Arabia.
Slah Sahmim
- Department of Mathematics and Statistics, College of Sciences, King Faisal University, Hafouf, Saudi Arabia.
Abstract
In this paper, we introduce some generalized nonlinear contractions via implicit functions and \(\alpha\)-admissible pair of mappings.
We also provide some common fixed point results for above contractions in the class of b-metric-like spaces. We will
derive some consequences and corollaries from our obtained results. Some illustrated examples are presented to make effective
the concepts and results.
Share and Cite
ISRP Style
Hassen Aydi, Abdelbasset Felhi, Slah Sahmim, Common fixed points via implicit contractions on b-metric-like spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1524--1537
AMA Style
Aydi Hassen, Felhi Abdelbasset, Sahmim Slah, Common fixed points via implicit contractions on b-metric-like spaces. J. Nonlinear Sci. Appl. (2017); 10(4):1524--1537
Chicago/Turabian Style
Aydi, Hassen, Felhi, Abdelbasset, Sahmim, Slah. "Common fixed points via implicit contractions on b-metric-like spaces." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1524--1537
Keywords
- Common fixed point
- implicit contraction
- b-metric-like space.
MSC
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