Research Article
BibTex RIS Cite

Common Fixed Point Theorems in M-Fuzzy Cone Metric Space

Year 2021, Volume: 4 Issue: 1, 33 - 46, 31.03.2021

M. Suganthı M.jeyaraman Mathuraiveeran

https://doi.org/10.53006/rna.748994
Cited By: 5

Abstract

This work aims to generalize the Banach contraction theorem to M-fuzzy cone metric spaces. We construct generalized M-fuzzy cone contractive conditions for three self mappings with which they have a unique common fixed point.

Keywords

Fixed point Cone Triangular Fuzzy contractive Symmetric

References

  • Frechet, M., Sur quelques points de calcul fonctionnel, Rend. Circ. Mat. Paleremo, 22(1906), 1-74.
  • George, A., and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, 64(1994), 395-399.
  • Gregori, V., Sapena, A., On fixed point theorems in fuzzy metric spaces, Fuzzy sets and Systems, 125(2002),245-252.
  • Huang, L., Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007),1468-1476.
  • Kaleva, O., and Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984) 215-229.
  • Kramosil, O., and Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975) 326-334.
  • Saif U. Rehman et.al., Common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces, Abs. Appl. Analysis, 2019(2841606)(2019), 10 pages.
  • Sedghi, S., Shobe, N., Fixed point theorem in M-fuzzy metric spaces with property (E), Adv. Fuzzy Math., 1(1)(2006), 55-65.
  • Tarkan Oner et. al., Fuzzy cone metric spaces, J. Nonlinear Sci. Appl., 8(2015), 610-616.
  • Zadeh, L.A., Fuzzy sets, Inform. and Control, 8(1965), 338-353.

Year 2021, Volume: 4 Issue: 1, 33 - 46, 31.03.2021

M. Suganthı M.jeyaraman Mathuraiveeran

https://doi.org/10.53006/rna.748994
Cited By: 5

Abstract

References

  • Frechet, M., Sur quelques points de calcul fonctionnel, Rend. Circ. Mat. Paleremo, 22(1906), 1-74.
  • George, A., and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, 64(1994), 395-399.
  • Gregori, V., Sapena, A., On fixed point theorems in fuzzy metric spaces, Fuzzy sets and Systems, 125(2002),245-252.
  • Huang, L., Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007),1468-1476.
  • Kaleva, O., and Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984) 215-229.
  • Kramosil, O., and Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975) 326-334.
  • Saif U. Rehman et.al., Common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces, Abs. Appl. Analysis, 2019(2841606)(2019), 10 pages.
  • Sedghi, S., Shobe, N., Fixed point theorem in M-fuzzy metric spaces with property (E), Adv. Fuzzy Math., 1(1)(2006), 55-65.
  • Tarkan Oner et. al., Fuzzy cone metric spaces, J. Nonlinear Sci. Appl., 8(2015), 610-616.
  • Zadeh, L.A., Fuzzy sets, Inform. and Control, 8(1965), 338-353.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

M. Suganthı

M.jeyaraman Mathuraiveeran

Publication Date March 31, 2021
Published in Issue Year 2021 Volume: 4 Issue: 1

Cite

APA Suganthı, M., & Mathuraiveeran, M. (2021). Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. Results in Nonlinear Analysis, 4(1), 33-46. https://doi.org/10.53006/rna.748994
AMA Suganthı M, Mathuraiveeran M. Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. RNA. March 2021;4(1):33-46. doi:10.53006/rna.748994
Chicago Suganthı, M., and M.jeyaraman Mathuraiveeran. “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”. Results in Nonlinear Analysis 4, no. 1 (March 2021): 33-46. https://doi.org/10.53006/rna.748994.
EndNote Suganthı M, Mathuraiveeran M (March 1, 2021) Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. Results in Nonlinear Analysis 4 1 33–46.
IEEE M. Suganthı and M. Mathuraiveeran, “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”, RNA, vol. 4, no. 1, pp. 33–46, 2021, doi: 10.53006/rna.748994.
ISNAD Suganthı, M. - Mathuraiveeran, M.jeyaraman. “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”. Results in Nonlinear Analysis 4/1 (March 2021), 33-46. https://doi.org/10.53006/rna.748994.
JAMA Suganthı M, Mathuraiveeran M. Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. RNA. 2021;4:33–46.
MLA Suganthı, M. and M.jeyaraman Mathuraiveeran. “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”. Results in Nonlinear Analysis, vol. 4, no. 1, 2021, pp. 33-46, doi:10.53006/rna.748994.
Vancouver Suganthı M, Mathuraiveeran M. Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. RNA. 2021;4(1):33-46.

Cited By

Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces
Mathematics
https://doi.org/10.3390/math9141594
Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces
Symmetry
https://doi.org/10.3390/sym15010094
On pairs of fuzzy dominated mappings and applications
Advances in Difference Equations
https://doi.org/10.1186/s13662-021-03569-5
Common new fixed point results on b-cone Banach spaces over Banach algebras
Applied General Topology
https://doi.org/10.4995/agt.2022.15571
A New Approach to Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces
Mathematics
https://doi.org/10.3390/math9233001