Approximation of common fixed points of finite family of mixed-type total asymptotically quasi pseudocontractive-type mappings in Banach spaces

Abstract

We propose an m-step hybrid-type iteration scheme for finite family of total asymptotically quasi pseudocontractive-type self mappings and finite family of total asymptotically quasi pseudocontractive-type nonself mappings. Under suitable conditions on the iteration parameters, we established strong convergence theorems of the scheme to the common fixed point of the mappings in real Banach spaces. Our results modify, improve and generalise numerous results currently in literature.