Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces
- Autori: Vetro, C; Gopal, D; Imdad, M
- Anno di pubblicazione: 2010
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Common fixed point; Fuzzy metric space; Generalized weak contraction; Weakly compatible maps.
- OA Link: http://hdl.handle.net/10447/52012
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.