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Date: 2017
Language: eng
Resource Type: report
Identifier: http://hdl.handle.net/1959.13/1330341
Description: We provide supplementary material and additional detailed discussion pertaining to the paper “Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres”. [Final citation details to be advised... More
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1343491
Description: Let C(X) denote the set of all non-empty closed bounded convex subsets of a normed linear space X. In 1952 Hans Rådström described how C(X) equipped with the Hausdorff metric coul... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1331984
Description: We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1295837
Description: Motivated by questions of algorithm analysis, we provide several distinct approaches to determining convergence and limit values for a class of linear iterations.
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.13/1066622
Description: Let C be a bounded, closed, convex subset of a uniformly convex Banach space X. We investigate the convergence of the generalized Krasnosel’skii-Mann and Ishikawa iteration processes to common fixed p... More
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1057172
Description: By using recently developed theory which extends the idea of weak convergence into CAT(0) space we prove the convergence of the alternating projection method for convex closed subsets of a CAT(0) spac... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1317417
Description: We introduce a new geometric property (Ã₂) and we show that it is equivalent to its uniform version (⋃Ã₂). Next we introduce a new property (⋃Ã₂) and we show that if a separable Banach space X has thi... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.13/1038186
Description: The Douglas–Rachford iteration scheme, introduced half a century ago in connection with nonlinear heat flow problems, aims to find a point common to two or more closed constraint sets. Convergence of ... More
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Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/931626
Description: Lipschitz self mappings of metric spaces appear in many branches of mathematics. In this paper we introduce a modification of the Lipschitz condition which takes into account not only the mapping itse... More
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/916170
Description: We prove some fixed point results for mappings satisfying various contractive conditions on Complete G-metric Spaces. Also the uniqueness of such fixed point are proved, as well as we showed these map... More
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Reviewed: Reviewed
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Creators: Li, Gang | Sims, Brailey
Date: 2008
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/802631
Description: Let (M,ρ) be a metric space, τ be a Hausdorff topology on M such that (M,ρ,τ) has Opial's condition, and let G be a semigroup and Ȝ = {T(t) : t ∈ G) be a semigroup of nonexpansive mapping from M into ... More
Reviewed: Reviewed
Date: 2005
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/28846
Description: Let K be a bounded closed convex subset of a Banach space X, and suppose f:K→K is 'locally almost nonexpansive' in the sense of Nussbaum. It is shown that the mapping Id-f is demiclosed if X is either... More
Reviewed: Reviewed
Date: 2004
Keyword: D-metric spaces
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/32771
Reviewed: Reviewed
Date: 2003
Resource Type: journal article
Identifier: uon:969
Description: We study for Orlicz function spaces, equipped with either the Luxemburg norm or the Orlicz norm, the connection between the Kadec-Klee property for local convergence in measure, the Kadec-Klee propert... More
Reviewed: Reviewed