Common Fixed Point Theorems for Four Fuzzy Mappings

In this paper we introduce a contractive inequality for four fuzzy mappings through a 4-variable generalization of altering distance function and then prove that the two fuzzy mappings defined on a complete ordered metric linear space satisfying such inequality have a common fixed point. We have discussed some specific results, which are obtainable under special choices of the generalized altering distance function. We also show that a more general result in the fixed point theory of multi-valued mappings can be established and the result we obtained for fuzzy mappings can be deduced from the general theorem.