Common Fixed Points for Generalized Affine and Subcompatible Mappings with Application

Hemant Kumar Nashine, Champa Lal Dewangan

Common fixed point results for generalized affine mapping and a class of $\mathcal{I}$-nonexpansive noncommuting mappings, known as, subcompatible mappings, satisfying (E.A) property have been obtained in the present work. Some useful invariant approximation results have also been determined by its application. These results extend and generalize various existing known results with the aid of more general class of noncommuting mappings, Ciric's contraction type condition and generalized affine mapping in the literature.