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

Gurucharan Singh Saluja

DOI: 10.4208/jms.v50n4.17.06

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.

  • Keywords

Total asymptotically nonexpansive self and non-self mapping, mixed type iteration scheme, common fixed point, uniformly convex Banach space, weak convergence.

  • AMS Subject Headings

47H09, 47H10, 47J25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

saluja1963@gmail.com (Gurucharan Singh Saluja)

  • BibTex
  • RIS
  • TXT
@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.

Saluja , Gurucharan Singh. (2018). 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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