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Volume 31, Issue 1
Strong Convergence for a Countable Family of Total Quasi-$ϕ$-Asymptotically Nonexpansive Nonself Mappings in Banach Space

Xiongrui Wang & Jing Quan

DOI: 10.13447/j.1674-5647.2015.01.04

Commun. Math. Res., 31 (2015), pp. 31-39.

Published online: 2021-05

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  • 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.

  • Keywords

strong convergence, total quasi-ϕ-asymptotically nonexpansive nonself, generalized projection.

  • AMS Subject Headings

47H05, 47H09, 49M05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-31, author = {Wang , Xiongrui 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 = {2021}, 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 = {http://global-sci.org/intro/article_detail/cmr/18947.html} }
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 -

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.

Xiongrui Wang & Jing Quan. (2021). Strong Convergence for a Countable Family of Total Quasi-$ϕ$-Asymptotically Nonexpansive Nonself Mappings in Banach Space. Communications in Mathematical Research . 31 (1). 31-39. doi:10.13447/j.1674-5647.2015.01.04
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