Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces

© 2016 All rights reserved.In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup {T(t): t ? R+} in the framework of re exive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also...

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Main Authors: Liu, Lishan, Liu, C., Wang, F., Wu, Yong Hong
Format: Journal Article
Published: Shomal University 2016
Online Access:http://hdl.handle.net/20.500.11937/52506
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author Liu, Lishan
Liu, C.
Wang, F.
Wu, Yong Hong
author_facet Liu, Lishan
Liu, C.
Wang, F.
Wu, Yong Hong
author_sort Liu, Lishan
building Curtin Institutional Repository
collection Online Access
description © 2016 All rights reserved.In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup {T(t): t ? R+} in the framework of re exive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field.
first_indexed 2025-11-14T09:52:01Z
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:52:01Z
publishDate 2016
publisher Shomal University
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-525062017-04-28T13:58:58Z Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces Liu, Lishan Liu, C. Wang, F. Wu, Yong Hong © 2016 All rights reserved.In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup {T(t): t ? R+} in the framework of re exive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field. 2016 Journal Article http://hdl.handle.net/20.500.11937/52506 Shomal University restricted
spellingShingle Liu, Lishan
Liu, C.
Wang, F.
Wu, Yong Hong
Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title_full Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title_fullStr Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title_full_unstemmed Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title_short Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
title_sort strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in banach spaces
url http://hdl.handle.net/20.500.11937/52506