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

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

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...

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Main Authors: Congcong Shen, Lining Jiang, Zhenhua Ma
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/3257189
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spelling doaj-ca7fd114f5c54f868a0dd6180c6b49482020-11-24T21:03:06ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/32571893257189C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point TheoremsCongcong Shen0Lining Jiang1Zhenhua Ma2School of Information, Beijing Wuzi University, Beijing, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaDepartment of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, ChinaWe 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.http://dx.doi.org/10.1155/2018/3257189
collection DOAJ
language English
format Article
sources DOAJ
author Congcong Shen
Lining Jiang
Zhenhua Ma
spellingShingle Congcong Shen
Lining Jiang
Zhenhua Ma
C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
Journal of Function Spaces
author_facet Congcong Shen
Lining Jiang
Zhenhua Ma
author_sort Congcong Shen
title C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
title_short C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
title_full C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
title_fullStr C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
title_full_unstemmed C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems
title_sort c⁎-algebra-valued g-metric spaces and related fixed-point theorems
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/3257189
work_keys_str_mv AT congcongshen calgebravaluedgmetricspacesandrelatedfixedpointtheorems
AT liningjiang calgebravaluedgmetricspacesandrelatedfixedpointtheorems
AT zhenhuama calgebravaluedgmetricspacesandrelatedfixedpointtheorems
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