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# Aliouche, A., & Popa, V. (2008). Common fixed point theorems for occasionally weakly compatible mappings via implicit relations, Filomat, 22 (2),99–107.  
# Aliouche, A., & Popa, V. (2008). Common fixed point theorems for occasionally weakly compatible mappings via implicit relations, Filomat, 22 (2),99–107.  
# Altun, I., & Turkoglu D. (2008). Some fixed point theorems on fuzzy metric spaces with implicit relations, Commun. Korean Math. Soc., 23, 111–124.  
# Altun, I., & Turkoglu D. (2008). Some fixed point theorems on fuzzy metric spaces with implicit relations, Commun. Korean Math. Soc., 23, 111–124.  
# Atanassov, K. (1986). [[Issue:Intuitionistic Fuzzy sets|Intuitionistic Fuzzy sets]], Fuzzy Sets and System, 20 (1), 87–96.  
# Atanassov, K. (1986). [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and System, 20 (1), 87–96.  
# Beg, I., Gupta, V., & Kanwar, A. (2015). Fixed points on inyuitionistic fuzzy matric spaces using the E - A property, J. Nonlinear Funct. Anal., 2015, Article ID 20.  
# Beg, I., Gupta, V., & Kanwar, A. (2015). Fixed points on inyuitionistic fuzzy matric spaces using the E - A property, J. Nonlinear Funct. Anal., 2015, Article ID 20.  
# Cho, Y. J. (1997). Fixed points in fuzzy metric spaces, J. Fuzzy. Math., 5 (4), 949–962.  
# Cho, Y. J. (1997). Fixed points in fuzzy metric spaces, J. Fuzzy. Math., 5 (4), 949–962.  
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# Kumar, S., & Fisher, B. (2010). A common fixed point theorem in fuzzy metric space using property (E.A) and implicit relation, Thai J. Math.,(3), 439–446.  
# Kumar, S., & Fisher, B. (2010). A common fixed point theorem in fuzzy metric space using property (E.A) and implicit relation, Thai J. Math.,(3), 439–446.  
# Menger, K. (1942). Statistical metrics, Proc. Nat. Acad. Sci., 28, 535–537.
# Menger, K. (1942). Statistical metrics, Proc. Nat. Acad. Sci., 28, 535–537.
# Manro, S. (2015). A common fixed point theorem for weakly compatible maps satisfying common property (E. A.) and implicit relation in intuitionistic fuzzy metric spaces, Int. J. Nonlinear Anal. Appl., 6 (1), 1–8.  
# Manro, S. (2015). A common fixed point theorem for weakly compatible maps satisfying common property (E. A.) and implicit relation in intuitionistic fuzzy metric spaces, Int. J. Nonlinear Anal. Appl., 6 (1), 1–8.  
# Manro, S., Bouharjera, H., & Singh, S. (2010). A Common fixed point theorem in Intuitionistic fuzzy metric Space by using Sub-Compatible maps, Int. J. Contemp. Math. Sciences, 5 (55), 2699– 2707.  
# Manro, S., Bouharjera, H., & Singh, S. (2010). A Common fixed point theorem in Intuitionistic fuzzy metric Space by using Sub-Compatible maps, Int. J. Contemp. Math. Sciences, 5 (55), 2699– 2707.  

Latest revision as of 09:22, 6 January 2021

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http://ifigenia.org/wiki/issue:nifs/26/2/15-24
Title of paper: Related fixed point theorems in intuitionistic fuzzy metric spaces satisfying an implicit relation
Author(s):
Taieb Hamaizia
System Dynamics and Control Laboratory, Department of Mathematics and Informatics, Oum El Bouaghi University, Algeria
tayeb042000@yahoo.fr
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 2, pages 15–24
DOI: https://doi.org/10.7546/nifs.2020.26.2.15-24
Download:  PDF (192  Kb, File info)
Abstract: In this paper, we introduce a new class of implicit relation to present an extended version of a fixed point theorem of Popa [23] in the framework of intuitionistic fuzzy metric space.
Keywords: Common fixed point, Implicit relation, Cauchy sequence, Intuitionistic fuzzy metric space.
AMS Classification: 47H10, 54H25.
References:
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  3. Aliouche, A. (2007). Common fixed point theorems via an implicit relation and new properties, Soochow Journal of Mathematics, 33 (4), 593–601.
  4. Aliouche, A., & Popa, V. (2008). Common fixed point theorems for occasionally weakly compatible mappings via implicit relations, Filomat, 22 (2),99–107.
  5. Altun, I., & Turkoglu D. (2008). Some fixed point theorems on fuzzy metric spaces with implicit relations, Commun. Korean Math. Soc., 23, 111–124.
  6. Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and System, 20 (1), 87–96.
  7. Beg, I., Gupta, V., & Kanwar, A. (2015). Fixed points on inyuitionistic fuzzy matric spaces using the E - A property, J. Nonlinear Funct. Anal., 2015, Article ID 20.
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  17. Manro, S. (2015). A common fixed point theorem for weakly compatible maps satisfying common property (E. A.) and implicit relation in intuitionistic fuzzy metric spaces, Int. J. Nonlinear Anal. Appl., 6 (1), 1–8.
  18. Manro, S., Bouharjera, H., & Singh, S. (2010). A Common fixed point theorem in Intuitionistic fuzzy metric Space by using Sub-Compatible maps, Int. J. Contemp. Math. Sciences, 5 (55), 2699– 2707.
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