# $\alpha-\psi-\varphi$-contractive mappings in ordered partial b-metric spaces

Volume 7, Issue 3, pp 168--179 Publication Date: June 07, 2014
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### Authors

Aiman Mukheimer - Department of Mathematics and General Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi Arabia.

### Abstract

In this paper, we introduce the concept of $\alpha-\psi-\varphi$-contractive self mapping in complete ordered partial b- metric space, and we study the existence of fixed points for such mappings under some conditions. Presented theorems in this paper extend and generalize the results derived by Mustafa et al., also some examples are given to illustrate the main results.

### Keywords

• b-metric space
• fixed point theory
• contraction
• partial metric space.

•  47H10
•  54H25

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