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

Mehmet Kir^1, and Hükmi Kiziltunc¹

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

Cite this paper:
Mehmet Kir and 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

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.

Keywords:
fixed point b-metric spaces contraction mappings

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