Expansive Fixed Point Theorems for tri-simulation functions

Priya Shahi; Laxmi Rathour; Vishnu Narayan Mishra

doi:10.18540/jcecvl8iss3pp14303-01e

Expansive Fixed Point Theorems for tri-simulation functions

Authors

Priya Shahi St. Andrew’s College of Arts, Science and Commerce, St. Dominic Road, Bandra (W), Mumbai, India https://orcid.org/0000-0001-7743-4753
Laxmi Rathour Ward Number – 16, Bhagatbandh, Anuppur 484 224, Madhya Pradesh, India https://orcid.org/0000-0002-2659-7568
Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 4887, Madhya Pradesh, India https://orcid.org/0000-0002-2159-7710

DOI:

https://doi.org/10.18540/jcecvl8iss3pp14303-01e

Keywords:

simulation function, α-permisible mapping, fixed point, expansive mapping.

Abstract

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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Published

2022-05-30

How to Cite

Shahi, P., Rathour, L., & Mishra, V. N. (2022). Expansive Fixed Point Theorems for tri-simulation functions. The Journal of Engineering and Exact Sciences, 8(3), 14303–01e. https://doi.org/10.18540/jcecvl8iss3pp14303-01e