Aggregation of Fuzzy Metric Spaces: A Fixed Point Theorem

Abstract

In the last years, fuzzy (quasi-) metric spaces have been used as an important mathematical tool to measure the similarities between the two points with respect to a real parameter. For the reason of the importance of these structures, different kinds of methods have been investigated for use in the applied sciences. So generating new fuzzy (quasi-) metrics from the old ones with aggregation functions has been a research topic. In this paper, we provide a general fixed point theorem using residuum operators for contractions obtained through aggregation functions. We show that there are some necessary conditions and also we provide some examples to show that these conditions cannot be omitted.