(formula presented.)-Algebra-valued b-metric spaces and related fixed point theorems

Zhenhua Ma; Lining Jiang

doi:10.1186/s13663-015-0471-6

(formula presented.)-Algebra-valued b-metric spaces and related fixed point theorems

Zhenhua Ma, Lining Jiang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

57 Citations (Scopus)

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.

Original language	English
Article number	222
Pages (from-to)	1-12
Number of pages	12
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0471-6
Publication status	Published - 1 Dec 2015

Keywords

(formula presented.)-algebra

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10.1186/s13663-015-0471-6

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Ma, Z., & Jiang, L. (2015). (formula presented.)-Algebra-valued b-metric spaces and related fixed point theorems. Fixed Point Theory and Algorithms for Sciences and Engineering, 2015(1), 1-12. Article 222. https://doi.org/10.1186/s13663-015-0471-6

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(formula presented.)-Algebra-valued b-metric spaces and related fixed point theorems

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