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Some Unique Common Fixed Point Theorems In Parametric S-Metric Spaces

K.P.R.Rao1 , D.Vasu Babu2 , E.Taraka Ramudu3
  1. Professor , Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510, A.P.,India
  2. Research Scholar, Department of Applied Mathematics, Krishna University - Dr.M.R.Appa Row Campus, Nuzvid-521 201,Krishna Dt.,A.P.,India
  3. Asssistant professor, Department of Science and Humanities, Nova College of Engineering and Technology, Jupudi, Krishna Dt., A.P.,India
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In this paper, we introduced parametric s-metric space and proved two unique common fixed point theorems in it. Our result generalizes and improves two main results of Ionescu,Rezapour and Samei [4].


Parametric s-metric space, compatible maps, Weakly compatible maps.
2000 Mathematics Subject Classifications : 47H10, 54H25.


The concept of fuzzy sets was intiated by Zadeh [10] in 1965 . The fuzzy metric space was introduced by Kramosil and Michalek [8]. Also, Grabeic[11] proved the contraction principle in the setting of fuzzymetric space. Also, George and Veeramani [1] modified the notion of fuzzy metric space with the help of continuous t-norm, by generalizing the concept of probablistic metric space to fuzzy situation. Later several authors, for example Vasuki [13],Pant[15] , Mishra et al.[14] ,Bari et al.[3], Vetro et al. [5] etc. proved fixed and common fixed point theorems in fuzzy metric spaces. We now state the following
Then (M, N) is called an intuitionistic fuzzy metric on X . The functions M(x, y,t) and N(x, y,t) denote the degree of nearness and the degree of non-earness between x and y with respect to t , respectively.
Definition 1.6[4]: Let (X,M,N,*,) be an intuitionstic fuzzy metric space. The fuzzy metric (M, N) is called triangular whenever,


[1] A.George, P.Veeramani, on some results in fuzzy metric spaces, Fuzzy sets and systems,64 (1994), 395-399.

[2] B.Schweizer, A.Sklar, statistical metric spaces,Pacific J.Math, 10(1960), 314-334.

[3] C.Di Bari and C. Vetro, A fixed point theorem for a family of mappings in a fuzzy metric space, Rend. Ciric. Math.Palermo 52, (2003), 315-321.

[4] C. Ionescu, Sh.Rezapour, M.E. Samei,Fixed pints of some new contractions on intuitionistic fuzzy metric spaces, Fixed point Theory and Appl., 2013( 2013):168.

[5] C.Vetro,D.Gopal and M.Imdad, Common fixed point theorems fo (  , )-weak contractions in fuzzy metric spaces, Indian J.Math,52(3),(2010),573-590.

[6] G.Jungck,Compatible mappings and common fixed points,Int.J.Math.Math.Sci.,9(4),(1986),771-779.

[7] G.Jungck and B.E.Rhoades,Fixed points for set-valued mappings without continuity,Indian J.Pure.Appl.Math.,29(3),(1998),227-238.

[8] I.Kramosil and J. Michlek, Fuzzy metric and statistical metric spaces, Kybernetika, 11 (1975), 336-344.

[9] J.H.Park,Intuitionstic fuzzy metric spaces,chaos solitons Fractals, 22(2004),1039-1046.

[10] L.A.Zadeh, Fuzzy sets, Information and control,8(1965), 338-353.

[11] M.Grabiec, Fixed points in fuzzy metric spaces, Fuzzy sets and systems, 27(1989), 385-389.

[12] N.Hussain, S.Khalehiadeh, P.Salimi, Afra A.N.Abdou, A new approach to fixed point resultsin triangular intuitionstic fuzzy metric spaces, (A pre print).

[13] R.Vasuki, A common fixed point theorem in a fuzzy metric space,Fuzzy sets and systems, 97(1998), 395-397.

[14] S.N.Mishra,N.Sharma and S.L.Singh,Common fixed point of mappings on fuzzy metric spaces, Internat.J.Math.Math.Sci, 17(1994),253-258.

[15] V.Pant, some fixed point theorems in fuzzy metric spaces, Tamkang J.Math. 1(2009),59-66.