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Fixed point theorems for weakly compatible mappings in fuzzy metric spaces

Sharma P., Chandel R., S.

Fasciculi Mathematici

2013

Nr 51

141--148

This paper presents some fixed point theorems for six occasionally weakly compatible maps in fuzzy metric spaces.

Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space

O'Regan D., Abbas M.

Demonstratio Mathematica

2009

Vol. 42, nr 4

887-900

The aim of this paper is to provide a necessary and sufficient condition for the existence of a common fixed point of three maps f , g and T in a complete fuzzy metric space under a general contractive condition. A common fixed point theorem for a pair of weakly biased mappings, which is more general than weakly compatible mappings is also proved.

Common fixed points of compatible maps of type (beta) on fuzzy metric spaces

Sharma S., Deshpande B.

Demonstratio Mathematica

2002

Vol. 35, nr 1

165-174

In this paper, we prove a common fixed point theorem for six mappings under the condition of compatible mappings of type (beta) on fuzzy metric spaces. We extend, generalize and fuzzify several fixed point theorems on metric spaces, Menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces.