Common fixed point for mappings satisfying new contractive condition and applications to integral equations
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Authors
Feng Gu
- Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Hongqing Ye
- Hangzhou Wenchang High School, Hangzhou, Zhejiang 311121, China.
Abstract
In this paper, we prove some common fixed point theorems for three self-mappings satisfying various new contractive
conditions in complete G-metric spaces. We also discuss that these mappings are G-continuous on such a common fixed point.
And a non-trivial example is provided to support our new result in the framework of nonsymmetric G-metric spaces. At the
end of the results, we give an existence theorem for common solution of three integral equations. The results obtained in this
paper differ from the recent relative results in literature.
Share and Cite
ISRP Style
Feng Gu, Hongqing Ye, Common fixed point for mappings satisfying new contractive condition and applications to integral equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3988--3999
AMA Style
Gu Feng, Ye Hongqing, Common fixed point for mappings satisfying new contractive condition and applications to integral equations. J. Nonlinear Sci. Appl. (2017); 10(7):3988--3999
Chicago/Turabian Style
Gu, Feng, Ye, Hongqing. "Common fixed point for mappings satisfying new contractive condition and applications to integral equations." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3988--3999
Keywords
- Common fixed point
- generalized metric space
- integral equation.
MSC
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