| Inspired by the work of Gregori et al and guided by some open directions,we propose the concepts of Cauchy sequence,convergent sequence and completeness in a fuzzy partial metric space by the residuum operator associated to a continuous t-norm.Based on these notions,we introduce the concepts of two kinds of fuzzy Η-contractive mappings and fuzzyφ-contractive mappings in fuzzy partial metric spaces.At the same time,present related fixed point theorems and the relationships between contractive mappings are given. |