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Common Fixed Point Theorems in M-Fuzzy Cone Metric Space

Yıl 2021, Cilt: 4 Sayı: 1, 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, Cilt: 4 Sayı: 1, 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 Cilt: 4 Sayı: 1

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.