On some common coupled fixed point results in rectangular \(b\)-metric spaces
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Authors
Feng Gu
- Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Abstract
In this paper, by using the \(w\)-compatible conditions of mapping pair, we discuss the existence and uniqueness problem of the common coupled fixed point for mappings defined on a set equipped with two rectangular \(b\)-metrics. Some new common coupled fixed point theorems are obtained. We also provide
illustrative examples in support of our new results. As application, we provide an existence and uniqueness theorem of common solution for a class of nonlinear integral equations by using the obtained new result. The results presented in this paper generalize the well-known comparable results in the literature.
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ISRP Style
Feng Gu, On some common coupled fixed point results in rectangular \(b\)-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4085--4098
AMA Style
Gu Feng, On some common coupled fixed point results in rectangular \(b\)-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4085--4098
Chicago/Turabian Style
Gu, Feng. "On some common coupled fixed point results in rectangular \(b\)-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4085--4098
Keywords
- Rectangular b-metric space
- coupled coincidence point
- common coupled fixed point
- w-compatible mapping pairs.
MSC
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