Volume 50, Issue 4
Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Gurucharan Singh Saluja

J. Math. Study, 50 (2017), pp. 375-390.

Published online: 2018-04

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  • Abstract

In this paper, we study a new two-step iteration scheme of mixed type for two total asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some weak convergence theorems in the framework of uniformly convex Banach spaces. Our results extend and generalize several results from the current existing literature.

  • AMS Subject Headings

47H09, 47H10, 47J25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

saluja1963@gmail.com (Gurucharan Singh Saluja)

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@Article{JMS-50-375, author = {Saluja , Gurucharan Singh}, title = {Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces}, journal = {Journal of Mathematical Study}, year = {2018}, volume = {50}, number = {4}, pages = {375--390}, abstract = {

In this paper, we study a new two-step iteration scheme of mixed type for two total asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some weak convergence theorems in the framework of uniformly convex Banach spaces. Our results extend and generalize several results from the current existing literature.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n4.17.06}, url = {http://global-sci.org/intro/article_detail/jms/11324.html} }
TY - JOUR T1 - Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces AU - Saluja , Gurucharan Singh JO - Journal of Mathematical Study VL - 4 SP - 375 EP - 390 PY - 2018 DA - 2018/04 SN - 50 DO - http://doi.org/10.4208/jms.v50n4.17.06 UR - https://global-sci.org/intro/article_detail/jms/11324.html KW - Total asymptotically nonexpansive self and non-self mapping, mixed type iteration scheme, common fixed point, uniformly convex Banach space, weak convergence. AB -

In this paper, we study a new two-step iteration scheme of mixed type for two total asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some weak convergence theorems in the framework of uniformly convex Banach spaces. Our results extend and generalize several results from the current existing literature.

Gurucharan Singh Saluja. (2019). Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces. Journal of Mathematical Study. 50 (4). 375-390. doi:10.4208/jms.v50n4.17.06
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