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Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces

Open Access
|Dec 2018

Abstract

In this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong convergence theorems for mentioned scheme and mappings in Banach spaces. Our results extend and generalize the corresponding results recently announced by Wei and Guo [16] (Comm. Math. Res. 31(2015), 149-160) and many others.

DOI: https://doi.org/10.2478/awutm-2018-0009 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 136 - 148
Submitted on: Oct 31, 2016
Accepted on: Jan 25, 2018
Published on: Dec 7, 2018
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2018 Gurucharan Singh Saluja, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.