Results 41 to 50 of about 1,086,676 (318)
On the Halpern iteration in CAT(0) spaces [PDF]
Annals of Functional Analysis, 2015 In this paper, strong convergence of Halpern iteration is shown for a quasi-strongly nonexpansive sequence of multivalued mappings in complete CAT(0) spaces.
Khatibzadeh, Hadi, Ranjbar, Sajad
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The modified proximal point algorithm in Hadamard spaces
Journal of Inequalities and Applications, 2018 The purpose of this paper is to propose a modified proximal point algorithm for solving minimization problems in Hadamard spaces. We then prove that the sequence generated by the algorithm converges strongly (convergence in metric) to a minimizer of ...
Shih-sen Chang +3 more
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Some convergence results using K iteration process in CAT(0) $\mathit{CAT}(0)$ spaces
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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Relations between various boundaries of relatively hyperbolic groups [PDF]
, 2013 Suppose a group $G$ is relatively hyperbolic with respect to a collection $\PP$ of its subgroups and also acts properly, cocompactly on a $\CAT(0)$ (or $\delta$--hyperbolic) space $X$.
Tran, Hung Cong
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Alternating projections in CAT(0) spaces
Journal of Mathematical Analysis and Applications, 2012 AbstractBy 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) space. Given the right notion of weak convergence it turns out that the generalization of the well-known results in Hilbert spaces is straightforward ...
Bačák, Miroslav +2 more
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Affine maps between CAT(0) spaces [PDF]
Geometriae Dedicata, 2015 We study affine maps between CAT(0) spaces with geometric actions, and show that they essentially split as products of dilations and linear maps (on the Euclidean factor). This extends known results from the Riemannian case. Furthermore, we prove a splitting lemma for the Tits boundary of a CAT(0) space with geometric action, a variant of a splitting ...
Hanna Bennett +2 more
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Journal of Inequalities and Applications, 2023 In this paper, we establish the stability and strong convergence theorems, for the three-step iteration with perturbations for a T-Ciric quasicontraction, in the environment of the CAT(0) space.
Kenyi Calderón +2 more
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Asymptotic topological regularity of CAT(0) spaces [PDF]
arXiv, 2021 We study asymptotic topological regularity of CAT(0) spaces. We prove that if a purely n-dimensional, proper, geodesically complete CAT(0) space has small volume growth, then it is homeomorphic to the n-dimensional Euclidean space. We also discuss asymptotic geometry of proper, geodesically complete CAT(0) spaces of small volume growth.
arxiv
At infinity of finite-dimensional CAT(0) spaces [PDF]
Mathematische Annalen, 2009 We show that any filtering family of closed convex subsets of a finite-dimensional CAT(0) space $X$ has a non-empty intersection in the visual bordification $ \bar{X} = X \cup \partial X$. Using this fact, several results known for proper CAT(0) spaces may be extended to finite-dimensional spaces, including the existence of canonical fixed points at ...
Caprace, P., Lytchak, A.
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Wreath products with the integers, proper actions and Hilbert space compression [PDF]
, 2006 We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with \Z. We also give a lower bound for the (equivariant) Hilbert space compression of H\wr\Z in terms
Stalder, Yves, Valette, Alain
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