Sequences of nonlinear contractions and stability of fixed points

Abstract

Stability of fixed points for sequences of nonlinear contractions over a variable domain is studied in a 2-metric space. The results so obtained generalize some recent results of Mishra et al. [Chaos, Soliton & Fractals 45(2012), 1012-1016] and Barbet and Nachi [Monografias del Seminario Matemático García de Galdeano 33(2006), 51--58].