<i>e</i>-Distance in Menger PGM Spaces with an Application
The main purpose of the present paper is to define the concept of an <i>e</i>-distance (as a generalization of <i>r</i>-distance) on a Menger PGM space and to introduce some of its properties. Moreover, some coupled fixed point results, in terms of this distance on a complete...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/1/3 |
| _version_ | 1797543118352941056 |
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| author | Ehsan Lotfali Ghasab Hamid Majani Manuel De la Sen Ghasem Soleimani Rad |
| author_facet | Ehsan Lotfali Ghasab Hamid Majani Manuel De la Sen Ghasem Soleimani Rad |
| author_sort | Ehsan Lotfali Ghasab |
| collection | DOAJ |
| description | The main purpose of the present paper is to define the concept of an <i>e</i>-distance (as a generalization of <i>r</i>-distance) on a Menger PGM space and to introduce some of its properties. Moreover, some coupled fixed point results, in terms of this distance on a complete PGM space, are proved. To support our definitions and main results, several examples and an application are considered. |
| first_indexed | 2024-03-10T13:41:07Z |
| format | Article |
| id | doaj.art-e61009064e3749c19704d68563c12d24 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T13:41:07Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e61009064e3749c19704d68563c12d242023-11-21T03:05:09ZengMDPI AGAxioms2075-16802020-12-01101310.3390/axioms10010003<i>e</i>-Distance in Menger PGM Spaces with an ApplicationEhsan Lotfali Ghasab0Hamid Majani1Manuel De la Sen2Ghasem Soleimani Rad3Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz 6135783151, IranDepartment of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz 6135783151, IranInstitute of Research and Development of Processes IIDP, University of the Basque Country, 48940 Leioa, SpainYoung Researchers and Elite Club, West Tehran Branch, Islamic Azad University, Tehran 1477893855, IranThe main purpose of the present paper is to define the concept of an <i>e</i>-distance (as a generalization of <i>r</i>-distance) on a Menger PGM space and to introduce some of its properties. Moreover, some coupled fixed point results, in terms of this distance on a complete PGM space, are proved. To support our definitions and main results, several examples and an application are considered.https://www.mdpi.com/2075-1680/10/1/3e-distanceMenger PGM spacecoupled fixed point |
| spellingShingle | Ehsan Lotfali Ghasab Hamid Majani Manuel De la Sen Ghasem Soleimani Rad <i>e</i>-Distance in Menger PGM Spaces with an Application Axioms e-distance Menger PGM space coupled fixed point |
| title | <i>e</i>-Distance in Menger PGM Spaces with an Application |
| title_full | <i>e</i>-Distance in Menger PGM Spaces with an Application |
| title_fullStr | <i>e</i>-Distance in Menger PGM Spaces with an Application |
| title_full_unstemmed | <i>e</i>-Distance in Menger PGM Spaces with an Application |
| title_short | <i>e</i>-Distance in Menger PGM Spaces with an Application |
| title_sort | i e i distance in menger pgm spaces with an application |
| topic | e-distance Menger PGM space coupled fixed point |
| url | https://www.mdpi.com/2075-1680/10/1/3 |
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