On a pair of fuzzy phi-contractive mappings
We establish common fixed point theorems for fuzzy mappings under phi-contraction condition on a metric space with the d(infinity)-metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d(infinity)-metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results. (C) 2010 Elsevier Ltd. All rights reserved.
common fixed point fixed point fuzzy mapping contractive type mapping