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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/3257189 |
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| _version_ | 1832564989407264768 |
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| author | Congcong Shen Lining Jiang Zhenhua Ma |
| author_facet | Congcong Shen Lining Jiang Zhenhua Ma |
| author_sort | Congcong Shen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ca7fd114f5c54f868a0dd6180c6b4948 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ca7fd114f5c54f868a0dd6180c6b49482025-02-03T01:09:41ZengWileyJournal 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 |
| spellingShingle | Congcong Shen Lining Jiang Zhenhua Ma C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems Journal of Function Spaces |
| title | 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_short | C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems |
| title_sort | c algebra valued g metric spaces and related fixed point theorems |
| url | http://dx.doi.org/10.1155/2018/3257189 |
| work_keys_str_mv | AT congcongshen calgebravaluedgmetricspacesandrelatedfixedpointtheorems AT liningjiang calgebravaluedgmetricspacesandrelatedfixedpointtheorems AT zhenhuama calgebravaluedgmetricspacesandrelatedfixedpointtheorems |