C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems-Reference-Cited by-同舟云学术

C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems

Published:2018-07-12 Issue: Volume:2018 Page:1-8
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Shen Congcong¹²^ORCID,Jiang Lining²,Ma Zhenhua³^ORCID

Affiliation:

1. School of Information, Beijing Wuzi University, Beijing, China

2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

3. Department of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, China

Abstract

We introduce the notion of the C⁎-algebra-valued G-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C⁎-algebra-valued G-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.

Funder

Scientific Research Foundation of Education Bureau of Hebei Province

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2018/3257189.pdf

Reference31 articles.

1. 2-Local standard isometries on vector-valued Lipschitz function spaces

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