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

Authors

  • Gurucharan Singh Saluja Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur 492010 (C.G.), India

DOI:

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

Keywords:

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

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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Published

2021-11-08

Issue

Vol. 50 No. 4 (2017)

Section

Articles