$Z_s$-Contractive Mappings and Weak Compatibility in Fuzzy Metric Space
Mathematica Moravica, Tome 23 (2019) no. 2.

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The aim of this paper is to introduce $Z_s$-contractive condition for a pair of self maps in a fuzzy metric space, which enlarges and unifies the existing fuzzy contractions (by Gregori and Sapena 4]), $\psi$-contraction (by Mihet [8]), $Z$-contractions (by Shukla [15]) and Tirado contraction [16]), which are for only one self map. Using this, we establish a unique common fixed point theorem for two self maps satisfying condition (S), which was introduced by Shukla et al. in [15] through weak compatibility. The article includes an example, which shows the validity of our results.
Mots-clés : Fuzzy metric space, t-norm, M-cauchy sequence, common fixed points, $Z_s$-contraction, weak compatibility 
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Shobha Jain; Shishir Jain. $Z_s$-Contractive Mappings and Weak Compatibility in Fuzzy Metric Space. Mathematica Moravica, Tome 23 (2019) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2019_23_2_a4/