Strong convergence of some algorithms for $$\lambda $$ λ -strict pseudo-contractions in Banach spaces

Abstract

In this paper, we introduce a new iterative algorithm for finding a common element of the set of common fixed points of an infinite family of strictly pseudo-contractive mappings in a real 2-uniformly smooth Banach space. Then we proved a strong convergence theorem under some suitable conditions. Our results generalize and improve several recent results.