Some fixed point theorems for \(\theta\)-\(\phi\) \({C}\)-contractions
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Authors
Dingwei Zheng
- College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China.
Xinhe Liu
- College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China.
Gengrong Zhang
- College of Mathematics and Computationl Science, Hunan First Normal University, Changsha, Hunan, 410205, P. R. China.
Abstract
In this paper, we introduce the notion of \(\theta\)-\(\phi\) \({C}\)-contraction and establish some fixed point and coupled fixed point theorems for these mappings in the setting of complete metric spaces and ordered metric spaces. The results presented in the paper improve and extend some well-known results. Also, we give an example to illustrate them.
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ISRP Style
Dingwei Zheng, Xinhe Liu, Gengrong Zhang, Some fixed point theorems for \(\theta\)-\(\phi\) \({C}\)-contractions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5723--5733
AMA Style
Zheng Dingwei, Liu Xinhe, Zhang Gengrong, Some fixed point theorems for \(\theta\)-\(\phi\) \({C}\)-contractions. J. Nonlinear Sci. Appl. (2017); 10(11):5723--5733
Chicago/Turabian Style
Zheng, Dingwei, Liu, Xinhe, Zhang, Gengrong. "Some fixed point theorems for \(\theta\)-\(\phi\) \({C}\)-contractions." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5723--5733
Keywords
- Fixed point
- coupled fixed point
- complete metric space
- \(\theta\)-\(\phi\) \({C}\)-contraction
MSC
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