Common fixed point theorems in \(C^*\)-algebra-valued metric spaces

Volume 9, Issue 6, pp 4617--4627 http://dx.doi.org/10.22436/jnsa.009.06.100

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Authors

Qiaoling Xin - School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, P. R. China. - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, P. R. China. Lining Jiang - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, P. R. China. Zhenhua Ma - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, P. R. China. - Department of Mathematics, Institute of Architecture Civil Engineering, Zhangjiakou, 075000, P. R. China.

Abstract

In this paper, we establish coincidence fixed point and common fixed point theorems for two mappings in complete \(C^*\)-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are given.

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Keywords

• Common fixed point
• \(C^*\)-algebra
• weakly compatible
• coincidence point.

MSC

•  47H10

References

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