Tripled coincidence points for mixed comparable mappings in partially ordered cone metric spaces over Banach algebras

Volume 9, Issue 4, pp 1590--1599 http://dx.doi.org/10.22436/jnsa.009.04.16

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Authors

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

Abstract

Let \((X; d)\) be a complete partially ordered cone metric space, \(g : X \rightarrow X \)and \(F : X \times X \times X \rightarrow X\) be two mappings. In this paper, a new concept of F having the mixed comparable property with respect to g is introduced and some tripled coincidence point results of F and g are obtained if F has the mixed comparable property with respect to g and some other natural conditions are satisfied. Moreover, a support example of one of our results is given.

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Keywords

• Cone metric spaces over Banach algebras
• mixed comparable properties
• tripled coincidence points
• spectral radius.

MSC

•  54H25
•  47H10

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