Results 11 to 20 of about 611,633 (304)
Strong Convergence of an Implicit Algorithm in CAT(0) Spaces [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT"Equation missing" spaces. Our work improves and extends several recent results from the current literature.
Hafiz Fukhar-ud-din +2 more
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On Approximating Fixed Point in CAT(0) Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $\alpha$-nonexpansive mapping. We prove strong and $\Delta$ convergence results for approximating fixed point via newly defined iteration ...
Chanchal Garodia, Izhar Uddin
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On the Monotone Mappings in CAT(0) Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a ...
Davood Afkhami Taba, Hossein Dehghan
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A quadratic rate of asymptotic regularity for CAT(0)-spaces
Journal of Mathematical Analysis and Applications, 2005 In this paper we obtain a quadratic bound on the rate of asymptotic regularity for the Krasnoselski-Mann iterations of nonexpansive mappings in CAT(0)-spaces, whereas previous results guarantee only exponential bounds. The method we use is to extend to the more general setting of uniformly convex hyperbolic spaces a quantitative version of a ...
Laurenţiu Leuştean
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From wall spaces to CAT(0) cube complexes [PDF]
International Journal of Algebra and Computation, 2005 We explain how to adapt a construction due to M. Sageev in order to construct a proper action of a group on a CAT(0) cube complex starting from a proper action of the group on a wall ...
Chatterji, Indira, Niblo, Graham
core +6 more sources
Hyperbolic models for CAT(0) spaces
Advances in Mathematics54 pages. v4: Accepted version. v3: Small corrections and clarifications, added an extra figure.
Harry Petyt +2 more
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Modified shrinking projection methods in CAT(0) space [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 The aim of this paper is to introduce three modified shrinking projection methods involving two G-nonexpansive map- pings. We also prove the convergence of our proposed iterations to obtain the common fixed points of G-nonexpansive mappings in the ...
Sabiya Khatoon +2 more
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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).
Buckley, Stephen M. +2 more
openaire +2 more sources
A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings
Journal of Inequalities and Applications, 2021 In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate the common element of the set of solutions of convex minimization problems and the fixed points of two nearly asymptotically quasi ...
Sabiya Khatoon +2 more
doaj +1 more source
Mathematics, 2021 The purpose of this article is to initiate the notion of monotone multivalued generalized (α,β)-nonexpansive mappings and explore the iterative approximation of the fixed points for the mapping in an ordered CAT(0) space.
Mujahid Abbas +3 more
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