Fixed point theorems for \(C\)-class functions in \(b\)-metric spaces and applications
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Authors
Huaping Huang
- School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China.
Guantie Deng
- School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China.
Stojan Radenović
- Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia.
Abstract
The aim of this paper is to present some fixed point results for \(C\)-class functions in the setting of \(b\)-metric spaces. Moreover, some examples are given to support the main results. In addition, by using our results, we obtain the existence and uniqueness of solution to differential or integral equation. Furthermore, for the differential equation, we provide the precise mathematical expression of solution.
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ISRP Style
Huaping Huang, Guantie Deng, Stojan Radenović, Fixed point theorems for \(C\)-class functions in \(b\)-metric spaces and applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5853--5868
AMA Style
Huang Huaping, Deng Guantie, Radenović Stojan, Fixed point theorems for \(C\)-class functions in \(b\)-metric spaces and applications. J. Nonlinear Sci. Appl. (2017); 10(11):5853--5868
Chicago/Turabian Style
Huang, Huaping, Deng, Guantie, Radenović, Stojan. "Fixed point theorems for \(C\)-class functions in \(b\)-metric spaces and applications." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5853--5868
Keywords
- \(C\)-class function
- \(b\)-metric space
- fixed point
- altering distance function
- integral equation
MSC
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