Common tripled fixed point theorem in two rectangular b-metric spaces and applications
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Authors
Feng Gu
- Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Liya Liu
- Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Abstract
In this paper, we establish some new common tripled fixed point theorems for mappings defined on a set equipped with
two rectangular b-metrics. We also provide illustrative examples in support of our new results. In the end of the paper, we
give an existence and uniqueness theorem for a class of nonlinear integral equations by using the obtained result. The results
presented in this paper generalize the well-known comparable results in the literature.
Share and Cite
ISRP Style
Feng Gu, Liya Liu, Common tripled fixed point theorem in two rectangular b-metric spaces and applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3201--3216
AMA Style
Gu Feng, Liu Liya, Common tripled fixed point theorem in two rectangular b-metric spaces and applications. J. Nonlinear Sci. Appl. (2017); 10(6):3201--3216
Chicago/Turabian Style
Gu, Feng, Liu, Liya. "Common tripled fixed point theorem in two rectangular b-metric spaces and applications." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3201--3216
Keywords
- Rectangular b-metric space
- contractive mappings
- tripled coincidence point
- common tripled fixed point
- \(\omega\)-compatible mapping pairs.
MSC
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