The concept of weak (\(\psi,\alpha,\beta\)) contractions in partially ordered metric spaces
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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.
MSC
- 41A65
- 41A15
- 47H09
- 47H10
- 54H25
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