An altering distance function in fuzzy metric fixed point theorems

Abstract

Abstract The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42:146-154, 2009; Shen et al. in Appl. Math. Lett. 25:138-141, 2012). For this purpose, the altering distance functions are used. Moreover, in some of the results presented the class of t -norms is extended by using the theory of countable extensions of t -norms. The mentioned generalizations are illustrated by examples.