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

Gurucharan Singh Saluja

doi:10.2478/awutm-2018-0009

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 56 (2018): Issue 1 (July 2018)

By: Gurucharan Singh Saluja

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2018-0009 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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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

Keywords:

Asymptotically nonexpansive mapping,

non-self asymptotically nonexpansive mappings in the intermediate sense,

new two-step iteration scheme of hybrid mixed type,

Related subjects:

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

Volume 56 (2018): Issue 1 (July 2018)