Strong convergence of a Halpern-type iteration algorithm for fixed point problems in Banach spaces
Zhangsong Yao, Li-Jun Zhu, Yeong‐Cheng Liou · The Journal of Nonlinear Sciences and Applications · 2015
In this paper, we studied a Halpern-type iteration algorithm involving pseudo-contractive mappings for solving some variational inequality in a q-uniformly smooth Banach space. We show the studied algorithm has strong convergence under some mild conditions. Our result extends and improves many results in the literature.