https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Symmetry and the monotonicity of certain Riemann sums https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:42654 Wed 31 Aug 2022 13:02:35 AEST ]]> Fixed point theorems for contractive mappings in complete G-metric spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:7913 Wed 11 Apr 2018 12:39:17 AEST ]]> Computing intersections of implicitly specified plane curve https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34670 Wed 10 Apr 2019 15:55:14 AEST ]]> Appendix to 'Dynamics of the Douglas-Rachford method for ellipses and p-spheres' https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26363 Wed 05 Sep 2018 18:27:57 AEST ]]> On the convergence of iteration processes for semigroups of nonlinear mappings in banach spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:18175 Tue 23 Jun 2015 18:30:15 AEST ]]> Dynamics of the Douglas-Rachford method for ellipses and p-spheres https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34529 Tue 03 Sep 2019 18:08:17 AEST ]]> Application of projection algorithms to differential equations: boundary value problems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34850 Tue 02 Jul 2019 12:52:33 AEST ]]> The Douglas-Rachford algorithm in the absence of convexity https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13520 Sat 24 Mar 2018 10:37:19 AEDT ]]> Some remarks concerning D-metric spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3086 Sat 24 Mar 2018 08:30:19 AEDT ]]> Complete characterization of Kadec-Klee properties in Orlicz spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:969 Sat 24 Mar 2018 08:29:56 AEDT ]]> Fixed point theorems for mappings of asymptotically nonexpansive type https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:1421 Sat 24 Mar 2018 08:28:15 AEDT ]]> An ultrafilter approach to locally almost nonexpansive maps https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:2253 Sat 24 Mar 2018 08:27:15 AEDT ]]> Handbook of metric fixed point theory https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:2448 Sat 24 Mar 2018 08:26:53 AEDT ]]> Nonexpansive mappings on Banach lattices https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14044 Sat 24 Mar 2018 08:22:36 AEDT ]]> Non-expansive mappings on Banach lattices and related topics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13182 Sat 24 Mar 2018 08:14:43 AEDT ]]> Mean Lipschitzian mappings https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11122 Sat 24 Mar 2018 08:13:18 AEDT ]]> On the solution of linear mean recurrences https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19133 Sat 24 Mar 2018 07:55:54 AEDT ]]> Alternating projections in CAT(0) spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16145 Sat 24 Mar 2018 07:50:03 AEDT ]]> τ-demicloseness principle and asymptotic behavior for semigroups of nonexpansive mappings in metric spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6148 Sat 24 Mar 2018 07:44:32 AEDT ]]> The structure of the norned lattice generated by the closed bounded convex subsets of a normed space https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:29184 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 could be isometrically embedded in a normed lattice with the order an extension of set inclusion. We call this lattice the Rådström of X and denote it by R(X). We: (1) outline Rådström's construction, (2) examine the structure and properties of R(X) as a Banach space, including; completeness, density character, induced mappings, inherited subspace structure, reflexivity, and its dual space, and (3) explore possible synergies with metric fixed point theory.]]> Sat 24 Mar 2018 07:31:37 AEDT ]]> Norm convergence of realistic projection and reflection methods https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26750 Sat 24 Mar 2018 07:24:44 AEDT ]]> Properties (UÃ₂)* and (WÃ₂) in Orlicz spaces and some of their consequences https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:23417 * have the weak fixed point property. We also prove that a uniformly Gateaux differentiable Banach space has property (⋃Ã₂) and that if X* has property (⋃Ã₂), then X has the image-property. Criteria in order that Orlicz spaces have the properties (⋃Ã₂), (⋃Ã₂)* and (NUS*) are given.]]> Sat 24 Mar 2018 07:13:54 AEDT ]]> Survey: sixty years of Douglas-Rachford https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39811 feasibility problems of the following form: Find x∈⋂ⁿₖ₌₁ Sₖ . The success of the method in the context of closed, convex, nonempty sets S₁,...,Sₙ is well known and understood from a theoretical standpoint. However, its performance in the nonconvex context is less well understood, yet it is surprisingly impressive. This was particularly compelling to Jonathan M. Borwein who, intrigued by Elser, Rankenburg and Thibault’s success in applying the method to solving sudoku puzzles, began an investigation of his own. We survey the current body of literature on the subject, and we summarize its history. We especially commemorate Professor Borwein’s celebrated contributions to the area.]]> Fri 24 Jun 2022 09:28:05 AEST ]]> On numerical range and its application to Banach algebra. https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:686 Fri 23 Mar 2018 15:25:57 AEDT ]]>