Some coupled fixed point results on cone metric spaces over Banach algebras and applications

Volume 9, Issue 10, pp 5661--5671 http://dx.doi.org/10.22436/jnsa.009.10.12

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Authors

Pinghua Yan - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Jiandong Yin - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Qianqian Leng - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.

Abstract

Our purpose in this work is to present several coupled fixed point results for different contraction mappings on cone metric spaces over Banach algebras by virtue of the properties of spectral radiuses. Also as an application, we give a simple example at the end of the paper.

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Keywords

• Cone metric spaces over Banach algebras
• coupled fixed points
• contractions
• spectral radiuses.

MSC

•  47H10
•  47H09

References

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