The aim of this work is to introduce and explore a newly proposed property called "Common Limit in the Range" (CLRS) for four self-mappings and prove several theorems that satisfy this property. By utilizing the CLRS property, we establish new fixed-point theorems for generalized contractive mappings in fuzzy metric spaces. Ours results does not require condition of closeness of range and so our theorems generalize, unify, and extend many results in literature. Our findings improve the results of several researchers as well as many other established fixed-point theorems in fuzzy metric space.
| Published in | Abstract Book of the National Conference on Advances in Basic Science & Technology |
| Page(s) | 63-63 |
| Creative Commons |
This is an Open Access abstract, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Fuzzy Metric Spaces, Common Limit in the Range (CLRS), Fixed-point Theorems, Weakly Compatible Map-pings
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