<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <xref ref-type="bibr" rid="j_awutm-2018-0009_ref_016_w2aab3b7b8b1b6b1ab1ac16Aa">[16]</xref> (Comm. Math. Res. 31(2015), 149-160) and many others.</p></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.

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

Department of Mathematics, Govt. N. P. G., College of Science

Department of Mathematics, Govt. Kaktiya P. G. College

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically...

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

Published Online: Dec 07, 2018

Page range: 136 - 148

Received: Oct 31, 2016

Accepted: Jan 25, 2018

DOI: https://doi.org/10.2478/awutm-2018-0009

Keywords
Asymptotically nonexpansive mapping, non-self asymptotically nonexpansive mappings in the intermediate sense, new two-step iteration scheme of hybrid mixed type, common fixed point, Banach space, strong convergence

© 2018 Gurucharan Singh Saluja, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Dec 07, 2018

Page range: 136 - 148

Received: Oct 31, 2016

Accepted: Jan 25, 2018

DOI: https://doi.org/10.2478/awutm-2018-0009

KeywordsAsymptotically nonexpansive mapping, non-self asymptotically nonexpansive mappings in the intermediate sense, new two-step iteration scheme of hybrid mixed type, common fixed point, Banach space, strong convergence

© 2018 Gurucharan Singh Saluja, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Asymptotically nonexpansive mapping, non-self asymptotically nonexpansive mappings in the intermediate sense, new two-step iteration scheme of hybrid mixed type, common fixed point, Banach space, strong convergence