# The concept of weak ($\psi,\alpha,\beta$) contractions in partially ordered metric spaces

Volume 8, Issue 6, pp 1141--1149
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### Authors

Mehmet Kir - Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey. Hukmi Kiziltunc - Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey.

### Abstract

In this paper, we investigate generalized weak ($\psi,\alpha,\beta$) contractions in partially ordered sets in order to establish extensions of Banach, Kannan and Chatterjea's fixed point theorems in this setting.

### Share and Cite

##### ISRP Style

Mehmet Kir, Hukmi Kiziltunc, The concept of weak ($\psi,\alpha,\beta$) contractions in partially ordered metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1141--1149

##### AMA Style

Kir Mehmet, Kiziltunc Hukmi, The concept of weak ($\psi,\alpha,\beta$) contractions in partially ordered metric spaces. J. Nonlinear Sci. Appl. (2015); 8(6):1141--1149

##### Chicago/Turabian Style

Kir, Mehmet, Kiziltunc, Hukmi. "The concept of weak ($\psi,\alpha,\beta$) contractions in partially ordered metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1141--1149

### Keywords

• Fixed point
• weak contractions
• Kannan fixed point theorem
• Chatterjea fixed point theorem
• partially ordered set.

•  41A65
•  41A15
•  47H09
•  47H10
•  54H25

### References

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