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Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces
Axioms, 2022 The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive mapping.
Rahul Shukla
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Unit Ball Graphs on Geodesic Spaces [PDF]
Graphs and Combinatorics, 2020 Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points with edges, we obtain a simple graph on the points, which is called a unit ball graph. If the space is the real line, then it is known as a unit interval graph.
Masamichi Kuroda, Shuhei Tsujie
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Subset currents on free groups [PDF]
, 2012 We introduce and study the space of \emph{subset currents} on the free group $F_N$. A subset current on $F_N$ is a positive $F_N$-invariant locally finite Borel measure on the space $\mathfrak C_N$ of all closed subsets of $\partial F_N$ consisting of at
D. D’Angeli +40 more
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Hermitian Spaces in Geodesic Correspondence [PDF]
Proceedings of the American Mathematical Society, 1954 1. Coburn [1] has studied the problem of Hermitian spaces in geodesic correspondence. He found a necessary and sufficient condition for two Kahler spaces to be in geodesic correspondence and showed that such correspondence was impossible between a Kahler space and a Hermitian space. The problem of geodesic correspondence between two Hermitian spaces he
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Constructing a Space from the System of Geodesic Equations
, 2007 Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed.
A. Qadir +15 more
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On quasihyperbolic geodesics in Banach spaces
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Talponen, Jarno, Rasila, Antti
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Strongly contracting geodesics in Outer Space [PDF]
Geometry & Topology, 2011 We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(F_n) are stable, meaning that a quasi-geodesic with endpoints on the axis stays ...
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Boundaries for geodesic spaces
, 2022 For every proper geodesic space $X$ we introduce its quasi-geometric boundary $\partial_{QG}X$ with the following properties: 1. Every geodesic ray $g$ in $X$ converges to a point of the boundary $\partial_{QG}X$ and for every point $p$ in $\partial_{QG}X$ there is a geodesic ray in $X$ converging to $p$, 2.
Dydak, Jerzy, Rashed, Hussain
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Classification results for polyharmonic helices in space forms
Comptes Rendus. MathématiqueWe derive various classification results for polyharmonic helices, which are polyharmonic curves whose geodesic curvatures are all constant, in space forms.
Branding, Volker
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Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces
Topological Algebra and its Applications, 2023 In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya +1 more
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