Fixed point theory is one of the most dynamic areas of research for the last hundred years with many applications in various fields of pure and applied mathematics as well as in physical, economics and life sciences. Fixed point theory plays very important role dynamic and linear programming. Fixed point results are proved by many mathematicians in last four to five decades and further scopes are there to enhance these results. In recent years, we observed the fuzzification in almost every direction of mathematics such as arithmetic, topology, graph theory, probability theory, Image processing, stochastic processes and logic theory etc. It may not be wonder that fuzzy fixed point theory has become an area of interest for mathematicians. There are many view points of the notion of metric space in fuzzy topology. Many mathematicians used different conditions on self-mappings and proved several fixed point theorems for contractions in fuzzy metric spaces. We are interested in the results in which the distance between the objects is fuzzy, the objects themselves may be fuzzy or not. In this research article we prove some fixed point theorems for fuzzy 2-metric and fuzzy 3-metric spaces.
| Published in | Pure and Applied Mathematics Journal (Volume 11, Issue 5) |
| DOI | 10.11648/j.pamj.20221105.12 |
| Page(s) | 84-95 |
| Creative Commons |
This is an Open Access article, 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), 2024. Published by Science Publishing Group |
Fixed Point Theorem, Metric Space, Ordered Set, T-norm, Fuzzy Metric Space
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APA Style
Ankita Pagnis, Zaheer Kareem Ansari, Arun Garg. (2022). Fixed Point Results in Fuzzy Metric Spaces, Fuzzy 2 & 3 Metric Spaces. Pure and Applied Mathematics Journal, 11(5), 84-95. https://doi.org/10.11648/j.pamj.20221105.12
ACS Style
Ankita Pagnis; Zaheer Kareem Ansari; Arun Garg. Fixed Point Results in Fuzzy Metric Spaces, Fuzzy 2 & 3 Metric Spaces. Pure Appl. Math. J. 2022, 11(5), 84-95. doi: 10.11648/j.pamj.20221105.12
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Download@article{10.11648/j.pamj.20221105.12,
author = {Ankita Pagnis and Zaheer Kareem Ansari and Arun Garg},
title = {Fixed Point Results in Fuzzy Metric Spaces, Fuzzy 2 & 3 Metric Spaces},
journal = {Pure and Applied Mathematics Journal},
volume = {11},
number = {5},
pages = {84-95},
doi = {10.11648/j.pamj.20221105.12},
url = {https://doi.org/10.11648/j.pamj.20221105.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20221105.12},
abstract = {Fixed point theory is one of the most dynamic areas of research for the last hundred years with many applications in various fields of pure and applied mathematics as well as in physical, economics and life sciences. Fixed point theory plays very important role dynamic and linear programming. Fixed point results are proved by many mathematicians in last four to five decades and further scopes are there to enhance these results. In recent years, we observed the fuzzification in almost every direction of mathematics such as arithmetic, topology, graph theory, probability theory, Image processing, stochastic processes and logic theory etc. It may not be wonder that fuzzy fixed point theory has become an area of interest for mathematicians. There are many view points of the notion of metric space in fuzzy topology. Many mathematicians used different conditions on self-mappings and proved several fixed point theorems for contractions in fuzzy metric spaces. We are interested in the results in which the distance between the objects is fuzzy, the objects themselves may be fuzzy or not. In this research article we prove some fixed point theorems for fuzzy 2-metric and fuzzy 3-metric spaces.},
year = {2022}
}
TY - JOUR T1 - Fixed Point Results in Fuzzy Metric Spaces, Fuzzy 2 & 3 Metric Spaces AU - Ankita Pagnis AU - Zaheer Kareem Ansari AU - Arun Garg Y1 - 2022/11/11 PY - 2022 N1 - https://doi.org/10.11648/j.pamj.20221105.12 DO - 10.11648/j.pamj.20221105.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 84 EP - 95 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20221105.12 AB - Fixed point theory is one of the most dynamic areas of research for the last hundred years with many applications in various fields of pure and applied mathematics as well as in physical, economics and life sciences. Fixed point theory plays very important role dynamic and linear programming. Fixed point results are proved by many mathematicians in last four to five decades and further scopes are there to enhance these results. In recent years, we observed the fuzzification in almost every direction of mathematics such as arithmetic, topology, graph theory, probability theory, Image processing, stochastic processes and logic theory etc. It may not be wonder that fuzzy fixed point theory has become an area of interest for mathematicians. There are many view points of the notion of metric space in fuzzy topology. Many mathematicians used different conditions on self-mappings and proved several fixed point theorems for contractions in fuzzy metric spaces. We are interested in the results in which the distance between the objects is fuzzy, the objects themselves may be fuzzy or not. In this research article we prove some fixed point theorems for fuzzy 2-metric and fuzzy 3-metric spaces. VL - 11 IS - 5 ER -
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