Results 11 to 20 of about 77,015 (302)
Thin actions on CAT(0) spaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2022 v2: Correction of minor errors in Step 3 of the proof of Theorem 3.1.
Nicola Cavallucci, Andrea Sambusetti
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Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) $\operatorname{CAT}(0)$ space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate
Izhar Uddin +2 more
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Halpern's Iteration in CAT(0) Spaces [PDF]
Fixed Point Theory and Applications, 2009 AbstractMotivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT(0) spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergence theorem for nonself mappings is also discussed.
Satit Saejung
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PTOLEMAIC SPACES AND CAT(0) [PDF]
Glasgow Mathematical Journal, 2009 AbstractWe consider Ptolemy's inequality in a metric space setting. It is not hard to see that CAT(0) spaces satisfy this inequality. Although the converse is not true in full generality, we show that if our Ptolemaic space is either a Riemannian or Finsler manifold, then it must also be CAT(0).
Stephen M. Buckley +2 more
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Parabolic isometries of CAT(0) spaces and CAT(0) dimensions [PDF]
Algebraic & Geometric Topology, 2004 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-38.abs ...
Koji Fujiwara +2 more
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Some convergence results using K iteration process in CAT(0) $\mathit{CAT}(0)$ spaces [PDF]
Fixed Point Theory and Applications, 2018 In this paper, some strong and Δ-convergence results are proved for Suzuki generalized nonexpansive mappings in the setting of CAT(0) $\mathit{CAT}(0)$ spaces using the K iteration process.
Kifayat Ullah +2 more
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Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces [PDF]
Abstract and Applied Analysis, 2014 Let K be a nonempty closed and convex subset of a complete CAT(0) space. Let Ti:K→CBK,i=1,2,…,m, be a family of multivalued demicontractive mappings such that F:=⋂i=1mF(Ti)≠∅.
C. E. Chidume, A. U. Bello, P. Ndambomve
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Cascading Operators in CAT(0) Spaces [PDF]
Axioms, 2021 In this work, we introduce the notion of cascading non-expansive mappings in the setting of CAT(0) spaces. This family of mappings properly contains the non-expansive maps, but it differs from other generalizations of this class of maps.
Helga Fetter Nathansky +1 more
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5-Point CAT(0) Spaces after Tetsu Toyoda [PDF]
Analysis and Geometry in Metric Spaces, 2021 We give another proof of Toyoda’s theorem that describes 5-point subspaces in CAT(0) length spaces.
Lebedeva Nina, Petrunin Anton
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Conformal deformations of CAT(0) spaces [PDF]
Mathematische Annalen, 2018 We show that the class of CAT(0) spaces is closed under suitable conformal changes. In particular, any CAT(0) space admits a large variety of non-trivial deformations.
Alexander Lytchak, Stephan Stadler
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