Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras

Volume 9, Issue 4, pp 1581--1589 http://dx.doi.org/10.22436/jnsa.009.04.15

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Authors

Qi Yan - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Jiandong Yin - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Tao Wang - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.

Abstract

The purpose of this paper is to obtain some fixed point and common fixed point results of comparable maps satisfying certain contractive conditions on partially ordered cone metric spaces over Banach algebras. Moreover, an example is given, which shows that our main results are more useful than the presented results in some recent literatures.

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Keywords

• Fixed points
• cone metric spaces over Banach algebras
• ordered sets.

MSC

•  47H10
•  54H25

References

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