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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Main Authors: Priya Shahi, Laxmi Rathour, Vishnu Narayan Mishra
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2022-05-01
Series:The Journal of Engineering and Exact Sciences
Subjects:
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
description 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.
format Article
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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