Weak and strong convergence theorems of new iterations with errors for nonexpansive nonself-mappings

In this paper, a new three-step iterative scheme for nonexpansive nonself- mappings in Banach spaces is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space.

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Bibliographic Details
Main Authors: Somsak Thianwan, Suthep Suantai
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33746097738&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/61966
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Institution: Chiang Mai University
Description
Summary:In this paper, a new three-step iterative scheme for nonexpansive nonself- mappings in Banach spaces is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space.