Common fixed point theorems in C*-algebra-valued metric spaces

Qiaoling Xin*, Lining Jiang, Zhenhua Ma

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)4617-4627
Number of pages11
JournalJournal of Nonlinear Science and Applications
Volume9
Issue number6
DOIs
Publication statusPublished - 2016

Keywords

  • C*-algebra
  • Coincidence point
  • Common fixed point
  • Weakly compatible

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Xin, Q., Jiang, L., & Ma, Z. (2016). Common fixed point theorems in C*-algebra-valued metric spaces. Journal of Nonlinear Science and Applications, 9(6), 4617-4627. https://doi.org/10.22436/jnsa.009.06.100