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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Bibliographic Details
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
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Online Access:https://periodicos.ufv.br/jcec/article/view/14303
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Summary: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.
ISSN:2527-1075