Some new coupled fixed point theorems in ordered partial \(b\)-metric spaces

Volume 9, Issue 12, pp 5931--5949 http://dx.doi.org/10.22436/jnsa.009.12.03

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Authors

Hedong Li - Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China. Feng Gu - Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.

Abstract

In this paper, we establish some new coupled fixed point theorems in ordered partial \(b\)-metric spaces. Also, an example is provided to support our new results. The results presented in this paper extend and improve several well-known comparable results.

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Keywords

• Common coupled fixed point
• coupled coincidence point
• partially ordered set
• mixed \(g\)-monotone property
• partial \(b\)-metric space.

MSC

•  47H10
•  54H25

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