New dynamic fixed point results in Menger spaces
The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim [13], where we establish a dynamic information...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2023-11-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v18/p18_18.pdf |
| _version_ | 1797305378951659520 |
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| author | Besma Laouadi Taki Eddine Oussaeif Leila Benaoua Liliana Guran Ioana Camelia Tişe |
| author_facet | Besma Laouadi Taki Eddine Oussaeif Leila Benaoua Liliana Guran Ioana Camelia Tişe |
| author_sort | Besma Laouadi |
| collection | DOAJ |
| description | The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim [13], where we establish a dynamic information about their other fixed points if there exist i.e the distance between two fixed point in case of metric space and their equivalent in probabilistic metric space. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses.
As an application to our main result, we derive a uniqueness fixed point theorem for a self-mapping under strong conditions. |
| first_indexed | 2024-03-08T00:25:05Z |
| format | Article |
| id | doaj.art-a4d169260edf4546b387afc78c370ec8 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-03-08T00:25:05Z |
| publishDate | 2023-11-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-a4d169260edf4546b387afc78c370ec82024-02-15T22:21:51ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982023-11-0118 (2023)317328New dynamic fixed point results in Menger spacesBesma Laouadi0Taki Eddine Oussaeif1Leila Benaoua2Liliana Guran3Ioana Camelia Tişe4Dynamic Systems and Controls Laboratory (DSC), Department of Mathematics, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria.Dynamic Systems and Controls Laboratory (DSC), Department of Mathematics, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria.Dynamic Systems and Controls Laboratory (DSC), Department of Mathematics, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria.Department of Hospitality Services, Babeş-Bolyai University, Horea Street, no. 7, 400174, Cluj-Napoca, Romania.Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, no. 1, 400084, Cluj-Napoca, Romania. The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim [13], where we establish a dynamic information about their other fixed points if there exist i.e the distance between two fixed point in case of metric space and their equivalent in probabilistic metric space. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses. As an application to our main result, we derive a uniqueness fixed point theorem for a self-mapping under strong conditions. https://www.utgjiu.ro/math/sma/v18/p18_18.pdffixed pointmenger spacepicard sequencecomplete metric space |
| spellingShingle | Besma Laouadi Taki Eddine Oussaeif Leila Benaoua Liliana Guran Ioana Camelia Tişe New dynamic fixed point results in Menger spaces Surveys in Mathematics and its Applications fixed point menger space picard sequence complete metric space |
| title | New dynamic fixed point results in Menger spaces |
| title_full | New dynamic fixed point results in Menger spaces |
| title_fullStr | New dynamic fixed point results in Menger spaces |
| title_full_unstemmed | New dynamic fixed point results in Menger spaces |
| title_short | New dynamic fixed point results in Menger spaces |
| title_sort | new dynamic fixed point results in menger spaces |
| topic | fixed point menger space picard sequence complete metric space |
| url | https://www.utgjiu.ro/math/sma/v18/p18_18.pdf |
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