@Article{CMR-31-1, author = {Xiongrui, Wang and Quan, Jing}, title = {Strong Convergence for a Countable Family of Total Quasi-$ϕ$-Asymptotically Nonexpansive Nonself Mappings in Banach Space}, journal = {Communications in Mathematical Research }, year = {2015}, volume = {31}, number = {1}, pages = {31--39}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.04}, url = {https://global-sci.com/article/81698/strong-convergence-for-a-countable-family-of-total-quasi-asymptotically-nonexpansive-nonself-mappings-in-banach-space} }