Expansive Fixed Point Theorems for tri-simulation functions
In this paper, we introduce the idea of -expansion by employing tri-simulation functions introduced by Gubran et al. [R. Gubran, W. M. Alfaqih and M. Imdad, Italian Journal of Pure and Applied Mathematics -N, 45 (2021) 419-430] in a metric space. Further, we shall use these mappings to study variou...
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Language: | English |
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Universidade Federal de Viçosa (UFV)
2022-05-01
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Series: | The Journal of Engineering and Exact Sciences |
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Online Access: | https://periodicos.ufv.br/jcec/article/view/14303 |
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author | Priya Shahi Laxmi Rathour Vishnu Narayan Mishra |
author_facet | Priya Shahi Laxmi Rathour Vishnu Narayan Mishra |
author_sort | Priya Shahi |
collection | DOAJ |
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In this paper, we introduce the idea of -expansion by employing tri-simulation functions introduced by Gubran et al. [R. Gubran, W. M. Alfaqih and M. Imdad, Italian Journal of Pure and Applied Mathematics -N, 45 (2021) 419-430] in a metric space. Further, we shall use these mappings to study various fixed point results in complete metric spaces. The results of this paper generalize and improve several results on the topic in literature.
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format | Article |
id | doaj-art-5199b9716d6b48fe9ba23655b883aa2b |
institution | Kabale University |
issn | 2527-1075 |
language | English |
publishDate | 2022-05-01 |
publisher | Universidade Federal de Viçosa (UFV) |
record_format | Article |
series | The Journal of Engineering and Exact Sciences |
spelling | doaj-art-5199b9716d6b48fe9ba23655b883aa2b2025-02-02T19:56:20ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-05-018310.18540/jcecvl8iss3pp14303-01eExpansive Fixed Point Theorems for tri-simulation functionsPriya Shahi0Laxmi Rathour1Vishnu Narayan Mishra2St. Andrew’s College of Arts, Science and Commerce, St. Dominic Road, Bandra (W), Mumbai, IndiaWard Number – 16, Bhagatbandh, Anuppur 484 224, Madhya Pradesh, IndiaDepartment of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 4887, Madhya Pradesh, India In this paper, we introduce the idea of -expansion by employing tri-simulation functions introduced by Gubran et al. [R. Gubran, W. M. Alfaqih and M. Imdad, Italian Journal of Pure and Applied Mathematics -N, 45 (2021) 419-430] in a metric space. Further, we shall use these mappings to study various fixed point results in complete metric spaces. The results of this paper generalize and improve several results on the topic in literature. https://periodicos.ufv.br/jcec/article/view/14303simulation function, α-permisible mapping, fixed point, expansive mapping. |
spellingShingle | Priya Shahi Laxmi Rathour Vishnu Narayan Mishra Expansive Fixed Point Theorems for tri-simulation functions The Journal of Engineering and Exact Sciences simulation function, α-permisible mapping, fixed point, expansive mapping. |
title | Expansive Fixed Point Theorems for tri-simulation functions |
title_full | Expansive Fixed Point Theorems for tri-simulation functions |
title_fullStr | Expansive Fixed Point Theorems for tri-simulation functions |
title_full_unstemmed | Expansive Fixed Point Theorems for tri-simulation functions |
title_short | Expansive Fixed Point Theorems for tri-simulation functions |
title_sort | expansive fixed point theorems for tri simulation functions |
topic | simulation function, α-permisible mapping, fixed point, expansive mapping. |
url | https://periodicos.ufv.br/jcec/article/view/14303 |
work_keys_str_mv | AT priyashahi expansivefixedpointtheoremsfortrisimulationfunctions AT laxmirathour expansivefixedpointtheoremsfortrisimulationfunctions AT vishnunarayanmishra expansivefixedpointtheoremsfortrisimulationfunctions |