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Common Limit Range Property in Neutrosophic Menger Spaces

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1Associate Professor, P.g. And Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.2Part Time Research Scholar, Government Arts College for Women, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.3Department of Mathematics, Nachiappa Swamigal Arts &amp4Science College, Karaikudi, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.5Dept. Of Mathematics, Government Arts College for Women, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.

* Corresponding Author: M. Jeyaraman. Email:

Annals of Communications in Mathematics 2024, 7 (1), 57-70. https://doi.org/10.62072/acm.2024.070106

Received: 17 Jan 2024 |

Accepted: 18 Mar 2024 |

Published: 31 Mar 2024

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Abstract

The aim of this paper is to prove some common fixed-point theorems for weakly compatible mappings in Neutrosophic Menger Spaces satisfying common limit range property. Some examples are also given which demonstrate the validity of our results. As an application of our main result, we present a common fixed point theorems for four finite families of self-mappings in Menger spaces.

Keywords

CLR property; CLRST property; Common fixed point;; Menger space; Weakly compatible mappings

Cite This Article

M. Jeyaraman, A.N. Mangayarkkarasi, V. Jeyanthi.

Common Limit Range Property in Neutrosophic Menger Spaces.

Annals of Communications in Mathematics

2024,

7 (1):

57-70.

https://doi.org/10.62072/acm.2024.070106

Copyright © 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).