Ordered non-Archimedean fuzzy metric spaces and some fixed point results (Q963619)

In this paper, the authors introduce the concept of fuzzy order \(\psi\)-contractive mappings and prove two fixed point theorems on ordered non-Archimedean fuzzy metric spaces for fuzzy order \(\psi\)-contractive type mappings. The authors also prove a common fixed point theorem for weakly increasing single-valued mappings in a complete fuzzy metric space endowed with a partial order induced by an appropriate function. They discuss Kirk's problem on an extension of Caristi's theorem.