A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

© 2015, Suantai and Phuengrattana; licensee Springer. In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and...

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Main Authors:	Suantai,S., Phuengrattana,W.
Format:	Article
Published:	Springer Publishing Company 2015
Subjects:	Geometry and Topology Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928337136&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38936
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38936
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spelling	th-cmuir.6653943832-389362015-06-16T07:54:38Z A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces Suantai,S. Phuengrattana,W. Geometry and Topology Applied Mathematics © 2015, Suantai and Phuengrattana; licensee Springer. In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and strong convergence theorems of the proposed iterative process in Banach spaces. Our main results extend and generalize many results in the literature. 2015-06-16T07:54:38Z 2015-06-16T07:54:38Z 2015-12-01 Article 16871820 2-s2.0-84928337136 10.1186/s13663-015-0304-7 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928337136&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38936 Springer Publishing Company
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Applied Mathematics
spellingShingle	Geometry and Topology Applied Mathematics Suantai,S. Phuengrattana,W. A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
description	© 2015, Suantai and Phuengrattana; licensee Springer. In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and strong convergence theorems of the proposed iterative process in Banach spaces. Our main results extend and generalize many results in the literature.
format	Article
author	Suantai,S. Phuengrattana,W.
author_facet	Suantai,S. Phuengrattana,W.
author_sort	Suantai,S.
title	A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
title_short	A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
title_full	A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
title_fullStr	A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
title_full_unstemmed	A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces
title_sort	new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in banach spaces
publisher	Springer Publishing Company
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928337136&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38936
_version_	1681421563827585024

A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

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