Some coincidence point theorems for g-monotone increasing multi-valued mappings in cone metric spaces over Banach algebras

Volume 9, Issue 5, pp 3036--3047 http://dx.doi.org/10.22436/jnsa.009.05.96

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Authors

Jiandong Yin - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Qianqian Leng - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Haoran Zhu - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China. Sangsang Li - Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.

Abstract

In this paper, in partially ordered cone metric spaces over Banach algebras, we introduce the concept of g-monotone mappings and prove some coincidence point theorems for multi-valued and single-valued g-monotone increasing mappings satisfying certain metric inequalities which are established by an altering distance function. The presented results extend and improve some recent results. An illustrative example is given to support our results.

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Keywords

• Multi-valued mappings
• g-increasing mapping
• altering functions.

MSC

•  54H25
•  47H10.

References

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