C∗-Algebra-valued b-metric spaces and related fixed point theorems

نویسندگان

  • Zhenhua Ma
  • Lining Jiang
چکیده

*Correspondence: [email protected] 1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China Full list of author information is available at the end of the article Abstract Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued b-metric spaces which generalizes the concept of C∗-algebra-valued metric spaces and gives some basic fixed point theorems for self-map with contractive condition on such spaces. As applications, existence and uniqueness results for a type of operator equation and an integral equation are given.

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تاریخ انتشار 2015