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Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces

In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings. Weak and strong convergence theorems for computing common fixed points of two nonself total asymptotical...

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Main Authors: Gunduz, Birol, Dutta, Hemen, Kilicman, Adem
Format: Article
Language:English
Published: Cornell University 2017
Online Access:http://psasir.upm.edu.my/id/eprint/72772/1/Fixed%20point%20of%20a%20new%20type%20nonself%20total%20asymptotically%20nonexpansive%20mappings%20in%20Banach%20Spaces.pdf
http://psasir.upm.edu.my/id/eprint/72772/
https://arxiv.org/abs/1704.04625
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spelling my.upm.eprints.727722021-02-02T12:07:56Z http://psasir.upm.edu.my/id/eprint/72772/ Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces Gunduz, Birol Dutta, Hemen Kilicman, Adem In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings. Weak and strong convergence theorems for computing common fixed points of two nonself total asymptotically nonexpansive mappings are established in the framework of Banach spaces. Finally, we give an example which show that our theorems are applicable. Cornell University 2017-04 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72772/1/Fixed%20point%20of%20a%20new%20type%20nonself%20total%20asymptotically%20nonexpansive%20mappings%20in%20Banach%20Spaces.pdf Gunduz, Birol and Dutta, Hemen and Kilicman, Adem (2017) Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces. Applied Sciences, 20. pp. 1-14. ISSN 2331-8422 https://arxiv.org/abs/1704.04625
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings. Weak and strong convergence theorems for computing common fixed points of two nonself total asymptotically nonexpansive mappings are established in the framework of Banach spaces. Finally, we give an example which show that our theorems are applicable.
format Article
author Gunduz, Birol
Dutta, Hemen
Kilicman, Adem
spellingShingle Gunduz, Birol
Dutta, Hemen
Kilicman, Adem
Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
author_facet Gunduz, Birol
Dutta, Hemen
Kilicman, Adem
author_sort Gunduz, Birol
title Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
title_short Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
title_full Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
title_fullStr Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
title_full_unstemmed Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
title_sort fixed point of nonself total asymptotically nonexpansive mappings in banach spaces
publisher Cornell University
publishDate 2017
url http://psasir.upm.edu.my/id/eprint/72772/1/Fixed%20point%20of%20a%20new%20type%20nonself%20total%20asymptotically%20nonexpansive%20mappings%20in%20Banach%20Spaces.pdf
http://psasir.upm.edu.my/id/eprint/72772/
https://arxiv.org/abs/1704.04625
_version_ 1691734442358341632
score 13.18916

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