Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces

We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { Ti} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point s...

Full description

Saved in:

Bibliographic Details
Main Authors:	Aunyarat Bunyawat, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859716375&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51800
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-51800
record_format	dspace
spelling	th-cmuir.6653943832-518002018-09-04T06:09:24Z Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces Aunyarat Bunyawat Suthep Suantai Mathematics We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { Ti} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each T i. Some strong convergence theorems of the proposed method are also obtained for the following cases: all Tiare continuous and one of Tiis hemicompact, and the domain K is compact. Copyright © 2012 Aunyarat Bunyawat and Suthep Suantai. 2018-09-04T06:09:24Z 2018-09-04T06:09:24Z 2012-04-18 Journal 16870409 10853375 2-s2.0-84859716375 10.1155/2012/435790 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859716375&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51800
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Aunyarat Bunyawat Suthep Suantai Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
description	We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { Ti} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each T i. Some strong convergence theorems of the proposed method are also obtained for the following cases: all Tiare continuous and one of Tiis hemicompact, and the domain K is compact. Copyright © 2012 Aunyarat Bunyawat and Suthep Suantai.
format	Journal
author	Aunyarat Bunyawat Suthep Suantai
author_facet	Aunyarat Bunyawat Suthep Suantai
author_sort	Aunyarat Bunyawat
title	Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
title_short	Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
title_full	Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
title_fullStr	Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
title_full_unstemmed	Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
title_sort	convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859716375&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51800
_version_	1681423835265499136

Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces

Similar Items