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Kannan, R, Some results on .xed points, Bull. Calcutta Math. Soc., 60, 1968, 71-76.

has been cited by the following article:

Article

On Some Well Known Fixed Point Theorems in b-Metric Spaces

1Department of Mathematics, Faculty of Science, Ataurk Uniwersity, Erzurum-Turkey


Turkish Journal of Analysis and Number Theory. 2013, Vol. 1 No. 1, 13-16
DOI: 10.12691/tjant-1-1-4
Copyright © 2013 Science and Education Publishing

Cite this paper:
Mehmet Kir, Hükmi Kiziltunc. On Some Well Known Fixed Point Theorems in b-Metric Spaces. Turkish Journal of Analysis and Number Theory. 2013; 1(1):13-16. doi: 10.12691/tjant-1-1-4.

Correspondence to: Mehmet Kir, Department of Mathematics, Faculty of Science, Ataurk Uniwersity, Erzurum-Turkey. Email: mehmetkir04@gmail.com

Abstract

In this paper, our purpose is to show that Kannan Type and Chatterjea type contractive mappings have unique fixed point in b-metric spaces. Also, we see surprisingly a way that contrary to the known (usual) metric spaces, any contraction mapping is not need to be a weak conraction mapping in b-metric spaces.

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