Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Weak Convergence Theorems for Mixed Type Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Year:    2017

Author:    Gurucharan Singh Saluja

Journal of Mathematical Study, Vol. 50 (2017), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v50n4.17.06

Journal of Mathematical Study, Vol. 50 (2017), Iss. 4 : pp. 375–390

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

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

Author Details

Gurucharan Singh Saluja