On Convergences of contractive maps in metric spaces

In this paper, we introduce a new class of contraction maps, called A – contractions in fuzzy metric space. Under different sufficient conditions, existence of common fixed point for a pair of maps, four maps and also for a sequence of maps will be established here. Also it is shown that A – contractions is more generalized than TS – Contraction, B – Contraction in FM-space. If two fuzzy metrics are given on a set , which are related, a pair of self map can have common fixed point though the contractive condition with respect one fuzzy metric is given. Our result extends, generalized and fuzzifies several fixed point theorems with A – contractions on metric space.We give generalizations and convergences of these maps