Convergence of an explicit scheme for nonexpansive semigroups in Banach spaces

Abstract

In this work, we introduce a composite iterative scheme with Meir–Keeler contractions for nonexpansive semigroups in a q-uniformly smooth and strictly convex Banach space which admits a weakly sequentially continuous duality mapping. We also prove strong convergence theorems for the composite iterative schemes. Our results improve and extend several recent results.