A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings

A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings

The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces. Here, under finite dimensional or compactness restriction or the error term being zero, t...

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Main Author: Joseph Frank Gordon
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/7052349
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spelling doaj-1a9c9120abce48d4aff2ff30e3a8fd042020-11-25T03:27:02ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/70523497052349A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear MappingsJoseph Frank Gordon0Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaThe purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces. Here, under finite dimensional or compactness restriction or the error term being zero, the strong limit point of the sequence stated in the iterative scheme for these mappings in uniformly convex smooth Banach spaces was studied. This paper extends Ezearn and Prempeh’s result for nonexpansive mappings in real Hilbert spaces.http://dx.doi.org/10.1155/2020/7052349
collection DOAJ
language English
format Article
sources DOAJ
author Joseph Frank Gordon
spellingShingle Joseph Frank Gordon
A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
Journal of Mathematics
author_facet Joseph Frank Gordon
author_sort Joseph Frank Gordon
title A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
title_short A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
title_full A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
title_fullStr A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
title_full_unstemmed A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
title_sort shrinking projection algorithm with errors for costerro bounded linear mappings
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces. Here, under finite dimensional or compactness restriction or the error term being zero, the strong limit point of the sequence stated in the iterative scheme for these mappings in uniformly convex smooth Banach spaces was studied. This paper extends Ezearn and Prempeh’s result for nonexpansive mappings in real Hilbert spaces.
url http://dx.doi.org/10.1155/2020/7052349
work_keys_str_mv AT josephfrankgordon ashrinkingprojectionalgorithmwitherrorsforcosterroboundedlinearmappings
AT josephfrankgordon shrinkingprojectionalgorithmwitherrorsforcosterroboundedlinearmappings
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