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Common Fixed Point Theorems in M-Fuzzy Cone Metric Space

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

Öz

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.

Kaynakça

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

Öz

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

M. Suganthı

M.jeyaraman Mathuraiveeran

Yayımlanma Tarihi 31 Mart 2021
Yayımlandığı Sayı Yıl 2021

Kaynak Göster

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. Mart 2021;4(1):33-46. doi:10.53006/rna.748994
Chicago Suganthı, M., ve M.jeyaraman Mathuraiveeran. “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”. Results in Nonlinear Analysis 4, sy. 1 (Mart 2021): 33-46. https://doi.org/10.53006/rna.748994.
EndNote Suganthı M, Mathuraiveeran M (01 Mart 2021) Common Fixed Point Theorems in M-Fuzzy Cone Metric Space. Results in Nonlinear Analysis 4 1 33–46.
IEEE M. Suganthı ve M. Mathuraiveeran, “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”, RNA, c. 4, sy. 1, ss. 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 (Mart 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. ve M.jeyaraman Mathuraiveeran. “Common Fixed Point Theorems in M-Fuzzy Cone Metric Space”. Results in Nonlinear Analysis, c. 4, sy. 1, 2021, ss. 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.