Keywords:-

Keywords: Fuzzy metric space, Fuzzy-2 & 3 metric space, Fixed point theorem, Occasionally weakly Compatible mappings

Article Content:-

Abstract

In this paper, we give some definitions of occasionally weakly compatible maps in fuzzy-2 metric and fuzzy-3 metric spaces and some common fixed point theorems for six mappings under the condition of occasionally weakly compatible mappings in complete Fuzzy-2 and Fuzzy-3 matric spaces.

2010 Mathematics Subject Classification: Primary 47H10, 54H25

References:-

References

A.Branciari. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int.J.Math.Sci. 29(2002), no.9, 531 - 536.

A.Al -Thagafi and Naseer Shahzad, “Generalized I-Non expansive Self maps and Invariant Approximation”, Acta Mathematica Sinica, English Series May,2008, Vol.24, No.5,867-876.

B.E. Rhoades, Two fixed point theorems for mappings satisfying a general contractive condition of integral type. International Journal of Mathematics and Mathematical Sciences, 63, (2003), 4007 - 4013.

George A, Veermani P. On some result in fuzzy metric space. Fuzzy Set Syst. 1994; 64:395–399.

G. Jungck and B.E. Rhoades,” Fixed Point for Occasionally Weakly Compatible Mappings”, Fixed Point Theory, Volume 7, No. 2, 2006, 287-296.

G. Jungck and B.E. Rhoades, ” Fixed Point for Occasionally Weakly Compatible Mappings” , Erratum, Fixed Point Theory, Volume 9, No. 1,2008,383-384.

H.K. Pathak and Prachi Singh," Common Fixed Point Theorem for Weakly Compatible Mapping", International Mathematical Forum, 2(57): 2831-2839 (2007).

Kramosil I, Michalek J. Fuzzy metric and statistical metric spaces. Kybernetica 1975; 11:326–334.

Mohd. Imdad and Javid Ali," Some Common fixed point theorems in fuzzy metric spaces", Mathematical Communications 11: 153-163 (2006).

M.S.Chauhan, Bharat Singh. Fixed point in intuitionistic fuzzy-3 metric space. Int.J.Engg and Techo.Vol.3 (2), 2011, 144-150.

O. Hadzic," Common Fixed Points Theorems for families of mapping in complete metric space", Math, Japan. 29: 127-134 (1984).

P.Balasubramaniam, S.muralisankar, R.P. Pant, “Common fixed points of four mappings in a fuzzy metric space”, J. Fuzzy Math. 10(2) (2002), 379-384.

R.P. Pant," Common fixed points of four mappings", Bull, Cal. Math. Soc. 90: 281-286 (1998).

R.P. Pant ,”Common fixed point Theorems for contractive Mappings”, J. Math. Anal. Appl. 226 (1998), 251-258.

R.P. Pant ,”A remark on Common fixed point of Four Mappings in a fuzzy metric space”,J. Fuzzy. Math. 12(2) (2004), 433-437.

R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc., 60(1968), 71-76.

R. Vasuki, Common fixed points for R-weakly commuting maps in fuzzy metric spaces, Indian J. Pure Appl. Math. 30: 419-423 (1999).

Ramakant Bhardwaj, Sarvesh Agrawal and Rajesh Shrivastava, Jitendra Singhi, “Fixed Point Theorem in Fuzzy Metric Spaces” International Mathematical Forum, 5, 2010, no. 30, 1473 – 1480.

S. Banach, Sur les oprations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math.3,(1922)133-181 (French).

S.K.Chatterjea, Fixed point theorems, C.R.Acad.Bulgare Sci. 25(1972), 727-730.

Schweizer and A.Sklar, “Statistical metric spaces”, Pacific J. Math. 10(1960), 313-334

S. Kutukcu,"A fixed point theorem for contractive type mappings in Menger spaces", Am. J. App. Sci. 4(6): 371-373 (2007).

Servet Kutukcu, Sushil Sharma and Hanifi Tokgoz," A Fixed Point Theorem in Fuzzy Metric Spaces", Int. Journal of Math. Analysis, 1(18): 861-872 (2007).

S.N. Mishra," Common fixed points of compatible mappings in Pm-spaces", Math. Japan. 36: 283-289 (1991).

T.Zamfrescu, Fixed point theorems in metric spaces, Arch. Math. (Basel) 23(1972), 292-298.

Y.J. Cho, H.K. Pathak, S.M. Kang, J.S. Jungck, “Common Fixed points of compatibility maps of type (A) on fuzzy Metric Spaces”, Fuzzy Sets and Systems, 93: 99-111 (1998).

Zadeh LA. Fuzzy sets. Inform Control 1965; 8:338–353

Downloads

Citation Tools

How to Cite
Patel, R. M., & Bhardwaj, R. (2023). Some Fixed Point Theorems for Occasionally Weakly Compatible Mappings Related with Fuzzy-2 and Fuzzy-3 Metric spaces. International Journal Of Mathematics And Computer Research, 11(2), 3255-3260. https://doi.org/10.47191/ijmcr/v11i2.06