Pre-symmetric c-distances and characterization of complete cone metric spaces
The main goal of this research is to express the definition of pre-symmetric c-distances in cone metric spaces inspired by pre-symmetric w-distances defined by Romaguera and Tirado [Mathematics. 12 (2024), 2:305] and give the properties of this type of c-distances along with some examples. Then we i...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2025-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/22534 |
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| author | Seyedeh Sara Karimizad Ghasem Soleimani Rad |
| author_facet | Seyedeh Sara Karimizad Ghasem Soleimani Rad |
| author_sort | Seyedeh Sara Karimizad |
| collection | DOAJ |
| description | The main goal of this research is to express the definition of pre-symmetric c-distances in cone metric spaces inspired by pre-symmetric w-distances defined by Romaguera and Tirado [Mathematics. 12 (2024), 2:305] and give the properties of this type of c-distances along with some examples. Then we introduce Suzuki's theorem regarding a pre-symmetric c-distance and obtain
relationship between several important contractions with respect to cone metric spaces. Finally, we will state a characterization of the completeness of cone metrics using fixed point theorems, which is different from previous descriptions of complete cone metric spaces. |
| format | Article |
| id | doaj-art-9f08d27cda2c454197a44863e1d01d96 |
| institution | Kabale University |
| issn | 1576-9402 1989-4147 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj-art-9f08d27cda2c454197a44863e1d01d962025-08-20T03:44:36ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472025-04-0126152954210.4995/agt.2025.2253421724Pre-symmetric c-distances and characterization of complete cone metric spacesSeyedeh Sara Karimizad0https://orcid.org/0000-0002-0126-6746Ghasem Soleimani Rad1https://orcid.org/0000-0002-0758-2758Ilam UniversityFreelance ResearcherThe main goal of this research is to express the definition of pre-symmetric c-distances in cone metric spaces inspired by pre-symmetric w-distances defined by Romaguera and Tirado [Mathematics. 12 (2024), 2:305] and give the properties of this type of c-distances along with some examples. Then we introduce Suzuki's theorem regarding a pre-symmetric c-distance and obtain relationship between several important contractions with respect to cone metric spaces. Finally, we will state a characterization of the completeness of cone metrics using fixed point theorems, which is different from previous descriptions of complete cone metric spaces.https://polipapers.upv.es/index.php/AGT/article/view/22534pre-symmetric w-distancepre-symmetric c-distancecompletenesscharacterization |
| spellingShingle | Seyedeh Sara Karimizad Ghasem Soleimani Rad Pre-symmetric c-distances and characterization of complete cone metric spaces Applied General Topology pre-symmetric w-distance pre-symmetric c-distance completeness characterization |
| title | Pre-symmetric c-distances and characterization of complete cone metric spaces |
| title_full | Pre-symmetric c-distances and characterization of complete cone metric spaces |
| title_fullStr | Pre-symmetric c-distances and characterization of complete cone metric spaces |
| title_full_unstemmed | Pre-symmetric c-distances and characterization of complete cone metric spaces |
| title_short | Pre-symmetric c-distances and characterization of complete cone metric spaces |
| title_sort | pre symmetric c distances and characterization of complete cone metric spaces |
| topic | pre-symmetric w-distance pre-symmetric c-distance completeness characterization |
| url | https://polipapers.upv.es/index.php/AGT/article/view/22534 |
| work_keys_str_mv | AT seyedehsarakarimizad presymmetriccdistancesandcharacterizationofcompleteconemetricspaces AT ghasemsoleimanirad presymmetriccdistancesandcharacterizationofcompleteconemetricspaces |