Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces

The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker...

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Main Authors:	S. Imnang, S. Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77950847471&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51003
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51003
record_format	dspace
spelling	th-cmuir.6653943832-510032018-09-04T04:49:48Z Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces S. Imnang S. Suantai Mathematics The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. © 2010 Pleiades Publishing, Ltd. 2018-09-04T04:49:48Z 2018-09-04T04:49:48Z 2010-01-01 Journal 18189962 19950802 2-s2.0-77950847471 10.1134/S199508021001004X https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77950847471&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51003
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics S. Imnang S. Suantai Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
description	The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. © 2010 Pleiades Publishing, Ltd.
format	Journal
author	S. Imnang S. Suantai
author_facet	S. Imnang S. Suantai
author_sort	S. Imnang
title	Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
title_short	Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
title_full	Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
title_fullStr	Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
title_full_unstemmed	Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
title_sort	weak and strong convergence theorems for a finite family of non-lipschitzian mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77950847471&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51003
_version_	1681423691373608960

Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces

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