K.P.R.Rao1 , D.Vasu Babu2 , E.Taraka Ramudu3
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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 .
|Parametric s-metric space, compatible maps, Weakly compatible maps.|
|2000 Mathematics Subject Classifications : 47H10, 54H25.|
|The concept of fuzzy sets was intiated by Zadeh  in 1965 . The fuzzy metric space was introduced by Kramosil and Michalek . Also, Grabeic proved the contraction principle in the setting of fuzzymetric space. Also, George and Veeramani  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 ,Pant , Mishra et al. ,Bari et al., Vetro et al.  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: Let (X,M,N,*,) be an intuitionstic fuzzy metric space. The fuzzy metric (M, N) is called triangular whenever,|
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