Common fixed point for three pairs of self-maps satisfying weakly commuting and weakly compatible condition in generalized metric spaces

Volume 9, Issue 6, pp 3962--3979 http://dx.doi.org/10.22436/jnsa.009.06.43

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Authors

Zhongzhi Yang - Accounting School, Zhejiang University of Finance and Economics, Hangzhou, China.

Abstract

In this paper, we use weakly commuting and weakly compatible conditions of self-mapping pairs, prove some new common fixed point theorems for three pairs of self-maps in the framework of generalized metric spaces. The results presented in this paper generalize the well known comparable results in the literature due to Abbas et al. [M. Abbas, T. Nazir, R. Saadati, Adv. Difference Equ., 2011 (2011), 20 pages]. We also provide illustrative examples in support of our new results.

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Keywords

• Generalized metric space
• weakly commuting mapping pairs
• weakly compatible mapping pairs
• common fixed point.

MSC

•  47H10
•  54H25
•  54E50

References

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