In the present paper we introduce generalized contraction mapping in fuzzy metric space and some fixed-point theorems for G-complete fuzzy metric space are proved. Our results generalize and extend many known results in metric spaces to a (non-Archimedean) fuzzy metric space in the in the sense of George and Veeramani [George A, Veeramani P, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 1994;64:395-9].
| Published in | Pure and Applied Mathematics Journal (Volume 4, Issue 4) |
| DOI | 10.11648/j.pamj.20150404.14 |
| Page(s) | 159-163 |
| 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), 2015. Published by Science Publishing Group |
Fuzzy Metric Spaces, Generalized Contraction Mapping, G-Complete
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APA Style
Naser Abbasi, Hamid Mottaghi Golshan, Mahmood Shakori. (2015). Fixed-point Theorems in G-complete Fuzzy Metric Spaces. Pure and Applied Mathematics Journal, 4(4), 159-163. https://doi.org/10.11648/j.pamj.20150404.14
ACS Style
Naser Abbasi; Hamid Mottaghi Golshan; Mahmood Shakori. Fixed-point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl. Math. J. 2015, 4(4), 159-163. doi: 10.11648/j.pamj.20150404.14
AMA Style
Naser Abbasi, Hamid Mottaghi Golshan, Mahmood Shakori. Fixed-point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl Math J. 2015;4(4):159-163. doi: 10.11648/j.pamj.20150404.14
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Download@article{10.11648/j.pamj.20150404.14,
author = {Naser Abbasi and Hamid Mottaghi Golshan and Mahmood Shakori},
title = {Fixed-point Theorems in G-complete Fuzzy Metric Spaces},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {4},
pages = {159-163},
doi = {10.11648/j.pamj.20150404.14},
url = {https://doi.org/10.11648/j.pamj.20150404.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150404.14},
abstract = {In the present paper we introduce generalized contraction mapping in fuzzy metric space and some fixed-point theorems for G-complete fuzzy metric space are proved. Our results generalize and extend many known results in metric spaces to a (non-Archimedean) fuzzy metric space in the in the sense of George and Veeramani [George A, Veeramani P, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 1994;64:395-9].},
year = {2015}
}
TY - JOUR T1 - Fixed-point Theorems in G-complete Fuzzy Metric Spaces AU - Naser Abbasi AU - Hamid Mottaghi Golshan AU - Mahmood Shakori Y1 - 2015/07/30 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.20150404.14 DO - 10.11648/j.pamj.20150404.14 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 159 EP - 163 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20150404.14 AB - In the present paper we introduce generalized contraction mapping in fuzzy metric space and some fixed-point theorems for G-complete fuzzy metric space are proved. Our results generalize and extend many known results in metric spaces to a (non-Archimedean) fuzzy metric space in the in the sense of George and Veeramani [George A, Veeramani P, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 1994;64:395-9]. VL - 4 IS - 4 ER -
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