Banach Journal of Mathematical Analysis

A Fixed point theorem on cone metric spaces with new type contractivity

Mujahid Abbas, Ishak Altun, and Hakan Simsek
Source: Banach J. Math. Anal. Volume 5, Number 2 (2011), 15-24.

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.

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Primary Subjects: 54H25
Secondary Subjects: 47H10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjma/1313362998
Mathematical Reviews number (MathSciNet): MR2780865
Zentralblatt MATH identifier: 1223.54053

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