Open Access
2011 A Fixed point theorem on cone metric spaces with new type contractivity
Mujahid Abbas, Ishak Altun, Hakan Simsek
Banach J. Math. Anal. 5(2): 15-24 (2011). DOI: 10.15352/bjma/1313362998

Abstract

In the present work, a common fixed point theorem for self maps on cone metric spaces is proved. Also two examples, which shows that our main theorem is generalized version of main theorems of [A. Branciari, Int. J. Math. Math. Sci., 29 (2002), no. 9, 531-536] and [L.G. Huang and X. Zhang, J. Math. Anal. Appl. 332 (2007), no. 2, 1468-1476] are given.

Citation

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Mujahid Abbas. Ishak Altun. Hakan Simsek. "A Fixed point theorem on cone metric spaces with new type contractivity." Banach J. Math. Anal. 5 (2) 15 - 24, 2011. https://doi.org/10.15352/bjma/1313362998

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1223.54053
MathSciNet: MR2780865
Digital Object Identifier: 10.15352/bjma/1313362998

Subjects:
Primary: 54H25
Secondary: 47H10

Keywords: ‎cone metric space , fixed point , integral type contraction

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 2 • 2011
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