0000000000159094

AUTHOR

D Gopal

showing 2 related works from this author

Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces

2010

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.

Fuzzy metric spaceSettore MAT/05 - Analisi MatematicaGeneralized weak contractionWeakly compatible maps.Common fixed point
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AN ADDENDUM TO: A COMMON FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE USING SUBCOMPATIBLE MAPS"

2012

The aim of this note is to point out a fallacy in the proof of Theorem 3.1 contained in the recent paper ( Int. J. Contemp. Math. Sci. 5 (2010), 2699-2707) proved in intuitionistic fuzzy metric spaces employing the newly introduced notion of sub-compatible pair of mappings wherein our claim is also substantiated with the aid of an appropriate example. We also rectify the erratic theorem in two ways.

Settore MAT/05 - Analisi MatematicaIntuitionistic fuzzy metric space Compatible maps subcompatible maps subsequential continuity reciprocal continuity.
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