TY - JOUR
T1 - Strong Convergence for a Countable Family of Total Quasi-$ϕ$-Asymptotically Nonexpansive Nonself Mappings in Banach Space
AU - Wang , Xiongrui
AU - Quan , Jing
JO - Communications in Mathematical Research 
VL - 1
SP - 31
EP - 39
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.01.04
UR - https://global-sci.org/intro/article_detail/cmr/18947.html
KW - strong convergence, total quasi-ϕ-asymptotically nonexpansive nonself,
generalized projection.
AB - <p style="text-align: justify;">The purpose of this article is to introduce a class of total quasi-$ϕ$-asymptotically nonexpansive nonself mappings. Strong convergence theorems for
common fixed points of a countable family of total quasi-$ϕ$-asymptotically nonexpansive mappings are established in the framework of Banach spaces based on modified
Halpern and Mann-type iteration algorithm. The main results presented in this article extend and improve the corresponding results of many authors.</p>