# On some recent fixed point results for ($\psi,\varphi$)-contractive mappings in ordered partial b-metric spaces

Volume 9, Issue 7, pp 4990--4999 Publication Date: July 23, 2016
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### Authors

Huaping Huang - School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China. Diana Dolićanin-Đekić - Faculty of Technical Sciences, University of Prištna-Kosovska Mitrovica, Serbia. Guantie Deng - School of Mathematical Sciences, Beijing Normal University, Beijing, Beijing, 100875, China.

### Abstract

In this paper we unite, complement, improve, and generalize the recent fixed point results in ordered partial b-metric spaces, established by Mustafa et al. [Z. Mustafa, J. R. Roshan, V. Parvaneh, Z. Kadelburg, J. Inequal. Appl., 2013 (2013), 26 pages], with much shorter proofs. An example is given to show the superiority of the results obtained.

### Keywords

• Fixed point
• b-metric space
• partial metric space
• ordered partial b-metric space
• partially ordered set.

•  47H10
•  54H25

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