Using the infimum form of auxiliary functions to study the common coupled coincidence points in fuzzy semi-metric spaces

Abstract

The common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces are investigated in this paper. In fuzzy semi-metric space, the symmetric condition is not necessarily assumed to be satisfied. In this case, regarding the non-symmetry of metric, there are four kinds of triangle inequalities that can be considered. In order to investigate the common coupled coincidence points and common coupled fixed points, the fuzzy semi-metric space is further assumed to satisfy the so-called canonical condition that is inspired from the intuitive observations. The sufficient conditions for guaranteeing the common coupled coincidence points and common coupled fixed points will be different for the four different kinds of triangle inequalities.