锥度量空间中c-距离的公共不动点定理

doi:10.12052/gdutxb.180137

Abstract

Abstract: In this paper, the common fixed point theorem for mapping pairs under c-distance is obtained in the cone metric space, The results do not require nondecreasing in the condition. In addition, the condition of the results neither require the normality for cone nor require the continuity for mapping, Furthermore, the existence and uniqueness of the mapping to the common fixed point under c-distance is proved. The results improve and generalize the relevant conclusions in the existing literature.

Key words: cone metric space, c-distance, common fixed point

CLC Number:

O177.91

Liu Yan-yan, Yang Li-ping. Common Fixed Point Theorems for c-distances in Cone Metric Spaces[J].Journal of Guangdong University of Technology, 2019, 36(05): 43-47.

References

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Common Fixed Point Theorems for c-distances in Cone Metric Spaces

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[1]	Hong Yu-min, Yang Li-ping. Common Fixed Point Theorems in Cone Metric Spaces over Banach Algebras [J]. Journal of Guangdong University of Technology, 2021, 38(01): 75-81.
[2]	CHEN Pan, KONG Wei-Ming, YANG Li-Ping. Common Fixed Point Theorems for Four Mapsin the Cone Metric Spaces [J]. Journal of Guangdong University of Technology, 2014, 31(4): 79-84.
[3]	Kong Wei-ming,Yang Li-ping. Common Fixed Point Theorems of Expansive Mapping Pairs in the Cone Metric Space [J]. Journal of Guangdong University of Technology, 2013, 30(1): 76-80.