Common tripled fixed point theorem in two rectangular b-metric spaces and applications

Volume 10, Issue 6, pp 3201--3216 http://dx.doi.org/10.22436/jnsa.010.06.33

Publication Date: June 25, 2017 Submission Date: February 01, 2017

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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.

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Keywords

• Rectangular b-metric space
• contractive mappings
• tripled coincidence point
• common tripled fixed point
• \(\omega\)-compatible mapping pairs.

MSC

•  47H10
•  54H25

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