  In this paper, firstly, we introduce the concept of convexity in A-metric
spaces and show that Mann iteration process converges to the unique fixed point
of Zamfirescu type contractions in this newly defined convex A-metric space.
Secondly, we define the concept of stability in convex A-metric spaces and
establish stability result for the Mann iteration process considered in such
spaces. Our results carry some well-known results from the literature to convex
A-metric spaces.
