Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2013, 1(1), 13-16
DOI: 10.12691/tjant-1-1-4
Open AccessResearch Article

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

Mehmet Kir1, and Hükmi Kiziltunc1

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

Pub. Date: September 23, 2013
(This article belongs to the Special Issue Recent developments in the areas of mathematics)

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


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.

fixed point b-metric spaces contraction mappings

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