On surrounding quasi-contractions on non-triangular metric spaces
The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0083 |
| _version_ | 1819121403452981248 |
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| author | Karapinar Erdal Khojasteh Farshid Mitrović Zoran D. Rakočević Vladimir |
| author_facet | Karapinar Erdal Khojasteh Farshid Mitrović Zoran D. Rakočević Vladimir |
| author_sort | Karapinar Erdal |
| collection | DOAJ |
| description | The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries. |
| first_indexed | 2024-12-22T06:36:00Z |
| format | Article |
| id | doaj.art-b9dc542656c74b9f8fa4c78cc974c7ed |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-22T06:36:00Z |
| publishDate | 2020-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-b9dc542656c74b9f8fa4c78cc974c7ed2022-12-21T18:35:35ZengDe GruyterOpen Mathematics2391-54552020-10-011811113112110.1515/math-2020-0083math-2020-0083On surrounding quasi-contractions on non-triangular metric spacesKarapinar Erdal0Khojasteh Farshid1Mitrović Zoran D.2Rakočević Vladimir3Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, VietnamYoung Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak, IranFaculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000, Banja Luka, Bosnia and HerzegovinaFaculty of Sciences and Mathematics, Department of Mathematics, University of Niš, Višegradska 33, 18000, Niš, SerbiaThe aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries.https://doi.org/10.1515/math-2020-0083non-triangular metric spacesquasi-contractionb-metric spaces47h1054h25 |
| spellingShingle | Karapinar Erdal Khojasteh Farshid Mitrović Zoran D. Rakočević Vladimir On surrounding quasi-contractions on non-triangular metric spaces Open Mathematics non-triangular metric spaces quasi-contraction b-metric spaces 47h10 54h25 |
| title | On surrounding quasi-contractions on non-triangular metric spaces |
| title_full | On surrounding quasi-contractions on non-triangular metric spaces |
| title_fullStr | On surrounding quasi-contractions on non-triangular metric spaces |
| title_full_unstemmed | On surrounding quasi-contractions on non-triangular metric spaces |
| title_short | On surrounding quasi-contractions on non-triangular metric spaces |
| title_sort | on surrounding quasi contractions on non triangular metric spaces |
| topic | non-triangular metric spaces quasi-contraction b-metric spaces 47h10 54h25 |
| url | https://doi.org/10.1515/math-2020-0083 |
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