A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space

XU Shaoyuan; MA Chao; ZHOU Zuoling

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A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space

更新时间：2023-12-11

- A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 5, Pages: 1-4(2015)
- 作者机构：
  
  1. 韩山师范学院数学与统计学系,广东,潮州,521041
  2. 
  3. 澳门科技大学资讯科技学院,澳门,中国
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 September 2015，
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XU Shaoyuan, MA Chao, ZHOU Zuoling. A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5):1-4(2015)
DOI：

XU Shaoyuan, MA Chao, ZHOU Zuoling. A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5):1-4(2015) DOI：

摘要

以Banach代数取代Banach空间作为锥度量空间的底空间，引入具有Banach代数的锥度量空间，在正规性条件下已经得到了关于拟压缩映射的不动点定理。删去正规性条件，利用c-序列理论同样得到了拟压缩映射的不动点存在唯一性，主要结果改进和推广了相关文献的一些结论。

Abstract

By replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces

the concept of cone metric spaces with Banach algebras has been introduced. And a fixed point theorem of quasi-contractions with the assumption of normality has been proved. By omitting the assumption of normality and utilizing the theory of c-sequence

the existence and uniqueness of the fixed point for the quasi-contractions is obtained in the setting of cone metric spaces with Banach algebras. As a consequence

the corresponding result in the literature is improved and generalized.

关键词

具有Banach代数的锥度量空间非正规锥不动点定理拟压缩映射c-序列

Keywords

cone metric spaces with Banach algebrasnon-normal conesfixed point theoremsquasi-contractionsc-sequence

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College of Science, Yanshan University

Department of Mathematics, College of Science, Yanbian University, Yanji

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