Motivated by Rhoades (Nonlinear Anal., 47 (2001), 2683--2693), on the lines of Khan et al. (Bull. Aust. Math. Soc., 30 (1984), 1-9) employing the idea of altering distances, we extend the notion of (ϕ, ψ)-weak contraction to fuzzy metric spaces and utilize the same to prove common fixed point theorems for four mappings in fuzzy metric spaces.
Vetro, C., Gopal, D., Imdad, M. (2010). Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces. INDIAN JOURNAL OF MATHEMATICS, 52(3), 573-590.
Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces
VETRO, Calogero;
2010-01-01
Abstract
Motivated by Rhoades (Nonlinear Anal., 47 (2001), 2683--2693), on the lines of Khan et al. (Bull. Aust. Math. Soc., 30 (1984), 1-9) employing the idea of altering distances, we extend the notion of (ϕ, ψ)-weak contraction to fuzzy metric spaces and utilize the same to prove common fixed point theorems for four mappings in fuzzy metric spaces.
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