In this paper, some new versions of coincidence point theorems and min
imization theorems for single-valued and multi-valued mappings in gene
rating spaces of the quasi-metric family are obtained. As applications
, we utilize our main theorems to prove coincidence point theorems, fi
xed point theorems and minimization theorems for single-valued and mul
ti-valued mappings in fuzzy metric spaces and probabilistic metric spa
ces. (C) 1997 Elsevier Science B.V.