Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces

Naser Abbasi; Mahmood Shakori; Hamid Mottaghi Golshan

doi:doi:10.11648/j.pamj.20150406.15

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Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces

Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 6)

Received: 25 September 2015 Accepted: 10 October 2015 Published: 22 October 2015

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Abstract

Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.

Published in	Pure and Applied Mathematics Journal (Volume 4, Issue 6)
DOI	10.11648/j.pamj.20150406.15
Page(s)	255-258
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

Keywords

G-complete, Fuzzy Metric Spaces, Common Fixed Point

References

[1]	N. Abbasi, H. Mottaghi Golshan, M. Shakori, Fixed-point theorems in G-complete fuzzy metric spaces. Pure and applied mathematics journal, 4 (4) (2015) 159-163.
[2]	L.J. Ciric, On a family of contractive maps and fixed points. Publ. Inst. Math. (Beograd) (N.S.) 17(31) (1974), 45-51.
[3]	A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64 (1994), 395-399.
[4]	M. Grabiec, Fixed points in fuzzy metric space, Fuzzy Sets and Systems, 27 (1998), 385-389.
[5]	V. Gregori, A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252.
[6]	D. Mihet, Fuzzy -contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems, 159 (2008), 739-744.
[7]	J. Rodrguez-Lopez, S. Romaguera. The Hausdorf fuzzy metric on compact sets, Fuzzy Sets and Systems, 147 (2004), 273-283.
[8]	S. Romaguera, A. Sapena, P. Tirado, The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words,Topol. Appl, 154 (2007), 2196-2203.
[9]	B. Schweizer, A. Sklar, Statistical metric spaces,Paciac J. Math, 10 (1960), 314-334.
[10]	T. Zikic, On fixed point theorems of Gregori and Sapena, Fuzzy Sets and Systems 144 (3) (2004) 421–429.

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APA Style

Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan. (2015). Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure and Applied Mathematics Journal, 4(6), 255-258. https://doi.org/10.11648/j.pamj.20150406.15

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ACS Style

Naser Abbasi; Mahmood Shakori; Hamid Mottaghi Golshan. Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl. Math. J. 2015, 4(6), 255-258. doi: 10.11648/j.pamj.20150406.15

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AMA Style

Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan. Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl Math J. 2015;4(6):255-258. doi: 10.11648/j.pamj.20150406.15

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@article{10.11648/j.pamj.20150406.15,
  author = {Naser Abbasi and Mahmood Shakori and Hamid Mottaghi Golshan},
  title = {Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {6},
  pages = {255-258},
  doi = {10.11648/j.pamj.20150406.15},
  url = {https://doi.org/10.11648/j.pamj.20150406.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.15},
  abstract = {Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.},
 year = {2015}
}

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TY  - JOUR
T1  - Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces
AU  - Naser Abbasi
AU  - Mahmood Shakori
AU  - Hamid Mottaghi Golshan
Y1  - 2015/10/22
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150406.15
DO  - 10.11648/j.pamj.20150406.15
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 255
EP  - 258
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150406.15
AB  - Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.
VL  - 4
IS  - 6
ER  -

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Author Information

Naser Abbasi

Department of Mathematics, Lorestan University, Khoramabad, Iran
Mahmood Shakori

Department of Mathematics, Lorestan University, Khoramabad, Iran
Hamid Mottaghi Golshan

Department of Mathematics, Lorestan University, Khoramabad, Iran

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APA Style

Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan. (2015). Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure and Applied Mathematics Journal, 4(6), 255-258. https://doi.org/10.11648/j.pamj.20150406.15

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ACS Style

Naser Abbasi; Mahmood Shakori; Hamid Mottaghi Golshan. Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl. Math. J. 2015, 4(6), 255-258. doi: 10.11648/j.pamj.20150406.15

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AMA Style

Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan. Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces. Pure Appl Math J. 2015;4(6):255-258. doi: 10.11648/j.pamj.20150406.15

Copy | Download

@article{10.11648/j.pamj.20150406.15,
  author = {Naser Abbasi and Mahmood Shakori and Hamid Mottaghi Golshan},
  title = {Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {6},
  pages = {255-258},
  doi = {10.11648/j.pamj.20150406.15},
  url = {https://doi.org/10.11648/j.pamj.20150406.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.15},
  abstract = {Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces
AU  - Naser Abbasi
AU  - Mahmood Shakori
AU  - Hamid Mottaghi Golshan
Y1  - 2015/10/22
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150406.15
DO  - 10.11648/j.pamj.20150406.15
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 255
EP  - 258
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150406.15
AB  - Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.
VL  - 4
IS  - 6
ER  -

Copy | Download