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Common Fixed Point Theorems in M-Fuzzy Cone Metric Space

Year 2021, , 33 - 46, 31.03.2021
https://doi.org/10.53006/rna.748994

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.

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, , 33 - 46, 31.03.2021
https://doi.org/10.53006/rna.748994

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

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.