A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces
In this paper we introduce a new type of implicit relation in <i>S</i>-metric spaces. Our aim is to prove a general fixed point theorem for mappings satisfying the cyclical contractive condition, which extends several results from the literature.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/4/638 |
| _version_ | 1797538212124557312 |
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| author | Alina-Mihaela Patriciu Valeriu Popa |
| author_facet | Alina-Mihaela Patriciu Valeriu Popa |
| author_sort | Alina-Mihaela Patriciu |
| collection | DOAJ |
| description | In this paper we introduce a new type of implicit relation in <i>S</i>-metric spaces. Our aim is to prove a general fixed point theorem for mappings satisfying the cyclical contractive condition, which extends several results from the literature. |
| first_indexed | 2024-03-10T12:27:21Z |
| format | Article |
| id | doaj.art-bf25115175664f34b17c3e97bb9bacf7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T12:27:21Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bf25115175664f34b17c3e97bb9bacf72023-11-21T14:57:39ZengMDPI AGSymmetry2073-89942021-04-0113463810.3390/sym13040638A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric SpacesAlina-Mihaela Patriciu0Valeriu Popa1Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment, “Dunărea de Jos” University of Galaţi, 111 Domnească Street, 800201 Galaţi, RomaniaDepartment of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, 157 Calea Mărăşeşti, 600115 Bacău, RomaniaIn this paper we introduce a new type of implicit relation in <i>S</i>-metric spaces. Our aim is to prove a general fixed point theorem for mappings satisfying the cyclical contractive condition, which extends several results from the literature.https://www.mdpi.com/2073-8994/13/4/638fixed point<i>S</i>-metric spacecompatible mappingscyclical contractive conditionimplicit relation |
| spellingShingle | Alina-Mihaela Patriciu Valeriu Popa A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces Symmetry fixed point <i>S</i>-metric space compatible mappings cyclical contractive condition implicit relation |
| title | A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces |
| title_full | A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces |
| title_fullStr | A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces |
| title_full_unstemmed | A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces |
| title_short | A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in <i>S</i>-Metric Spaces |
| title_sort | general fixed point theorem for mappings satisfying a cyclical contractive condition in i s i metric spaces |
| topic | fixed point <i>S</i>-metric space compatible mappings cyclical contractive condition implicit relation |
| url | https://www.mdpi.com/2073-8994/13/4/638 |
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