Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, , 51 - 61, 31.01.2021

M. Jeyaraman M. Suganthı

https://doi.org/10.33773/jum.679843

Öz

Kaynakça

  • M. Aamri and D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, Math. Anal. Appl. 270 (2002), 181 - 188.
  • C. Alaca, D. Turkoglu and C. Yildiz, Fixed points in intuitionistic fuzzy metric space, Chaos, Soliton and Fractals, 29 (5) (2006), 1073 - 1078.
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and System, 20 (1986), 87 - 96.
  • A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64 (1994), 395 - 399.
  • A. George and P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets Syst. 90 (1997), 365 - 368.
  • G. Jungck, Commuting mappings and fixed points, Am. Math. Mon. 83 (1976),261 - 263.
  • O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 326 - 334.
  • S. Manro, S. S. Bhatia and S. Kumar, Common fixed point theorems in fuzzy metric spaces, Annals of Fuzzy Mathematics and Informatics, 3(1) (2012), 151 - 158.
  • Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006), 289 - 297.
  • Z. Mustafa, H. Aydi and E. Karapinar, On common fixed points G - metric spaces using (E.A.) property, Computer and mathematics with applications 64 (2012), 1944 - 1956.
  • R. Muthuraj, M. Sornavalli and M. Jeyaraman, Common coupled fixed point theorems in generalized intuitionistic fuzzy metric spaces, Notes On Intuitionistic Fuzzy sets, 23(1) (2017), 57 - 69.
  • J. H. Park, Intuitionistic fuzzy metric space, Chaos, Solitions & Fractals, 22 (2004), 1039 - 1046.
  • S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46) (1982), 149 - 153.
  • G. Sun and K. Yang, Generalized fuzzy metric spaces with properties, Res. J. Appl. Sci. 2 (2010), 673 - 678.
  • L. A. Zadeh, Fuzzy sets, Inf. Control 8 (1965), 338 - 353.

NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES

Yıl 2021, , 51 - 61, 31.01.2021

M. Jeyaraman M. Suganthı

https://doi.org/10.33773/jum.679843

Öz

In this paper, we prove the existence and uniqueness of a common fixed point in symmetric generalized intuitionistic fuzzy metric spaces using property (E.A.) or CLRg property. We introduce the new notion for a pair of mappings (f, g) on a generalized intuitionistic fuzzy metric space called weakly commuting of type (Jf ) and R-weakly commuting of type (Jf ).

Anahtar Kelimeler

Weakly commuting of type (Jf) R-weakly commuting of type (Jf) Generalized metric space Intuitionistic fuzzy metric space

Kaynakça

  • M. Aamri and D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, Math. Anal. Appl. 270 (2002), 181 - 188.
  • C. Alaca, D. Turkoglu and C. Yildiz, Fixed points in intuitionistic fuzzy metric space, Chaos, Soliton and Fractals, 29 (5) (2006), 1073 - 1078.
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and System, 20 (1986), 87 - 96.
  • A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64 (1994), 395 - 399.
  • A. George and P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets Syst. 90 (1997), 365 - 368.
  • G. Jungck, Commuting mappings and fixed points, Am. Math. Mon. 83 (1976),261 - 263.
  • O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 326 - 334.
  • S. Manro, S. S. Bhatia and S. Kumar, Common fixed point theorems in fuzzy metric spaces, Annals of Fuzzy Mathematics and Informatics, 3(1) (2012), 151 - 158.
  • Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006), 289 - 297.
  • Z. Mustafa, H. Aydi and E. Karapinar, On common fixed points G - metric spaces using (E.A.) property, Computer and mathematics with applications 64 (2012), 1944 - 1956.
  • R. Muthuraj, M. Sornavalli and M. Jeyaraman, Common coupled fixed point theorems in generalized intuitionistic fuzzy metric spaces, Notes On Intuitionistic Fuzzy sets, 23(1) (2017), 57 - 69.
  • J. H. Park, Intuitionistic fuzzy metric space, Chaos, Solitions & Fractals, 22 (2004), 1039 - 1046.
  • S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46) (1982), 149 - 153.
  • G. Sun and K. Yang, Generalized fuzzy metric spaces with properties, Res. J. Appl. Sci. 2 (2010), 673 - 678.
  • L. A. Zadeh, Fuzzy sets, Inf. Control 8 (1965), 338 - 353.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

M. Jeyaraman Bu kişi benim

M. Suganthı

Yayımlanma Tarihi 31 Ocak 2021
Gönderilme Tarihi 24 Ocak 2020
Kabul Tarihi 18 Şubat 2021
Yayımlandığı Sayı Yıl 2021

Kaynak Göster

APA Jeyaraman, M., & Suganthı, M. (2021). NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES. Journal of Universal Mathematics, 4(1), 51-61. https://doi.org/10.33773/jum.679843
AMA Jeyaraman M, Suganthı M. NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES. JUM. Ocak 2021;4(1):51-61. doi:10.33773/jum.679843
Chicago Jeyaraman, M., ve M. Suganthı. “NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES”. Journal of Universal Mathematics 4, sy. 1 (Ocak 2021): 51-61. https://doi.org/10.33773/jum.679843.
EndNote Jeyaraman M, Suganthı M (01 Ocak 2021) NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES. Journal of Universal Mathematics 4 1 51–61.
IEEE M. Jeyaraman ve M. Suganthı, “NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES”, JUM, c. 4, sy. 1, ss. 51–61, 2021, doi: 10.33773/jum.679843.
ISNAD Jeyaraman, M. - Suganthı, M. “NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES”. Journal of Universal Mathematics 4/1 (Ocak 2021), 51-61. https://doi.org/10.33773/jum.679843.
JAMA Jeyaraman M, Suganthı M. NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES. JUM. 2021;4:51–61.
MLA Jeyaraman, M. ve M. Suganthı. “NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES”. Journal of Universal Mathematics, c. 4, sy. 1, 2021, ss. 51-61, doi:10.33773/jum.679843.
Vancouver Jeyaraman M, Suganthı M. NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES. JUM. 2021;4(1):51-6.