Results 11 to 20 of about 7,754 (304)

Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces

open access: yesJournal of Function Spaces, 2020
In this paper, we introduce and study some properties of a new class of generalized monotone nonexpansive mappings in hyperbolic metric spaces. Further, we give some results on the convergence of the Mann iterative process for this class of mappings in ...
Rida Outass   +3 more
doaj   +1 more source

Model-independent embedding of directed networks into Euclidean and hyperbolic spaces

open access: yesCommunications Physics, 2023
Numerous results support that networks representing the structure of complex systems can be accompanied by hidden metric spaces. The present paper introduces a framework for embedding directed networks into hyperbolic spaces using dimension reduction ...
Bianka Kovács, Gergely Palla
doaj   +1 more source

Certain Classes of Operators on Some Weighted Hyperbolic Function Spaces

open access: yesJournal of Mathematics, 2021
In this paper, some classes of concerned multiplication operators consisting of analytic and hyperbolic functions are defined and considered. Furthermore, some properties such as boundedness and compactness of the new operators are discussed.
A. El-Sayed Ahmed, Amnah E. Shammaky
doaj   +1 more source

STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE

open access: yesUral Mathematical Journal, 2023
In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
doaj   +1 more source

Horizontal curves of hyperbolic metrics [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2018
Minor changes, final version, to appear in Calc Var ...
Rupflin, M, Topping, P
openaire   +5 more sources

A metric approach to limit operators [PDF]

open access: yes, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

Hyperbolic Metrics on Surfaces with Boundary [PDF]

open access: yesThe Journal of Geometric Analysis, 2020
AbstractWe discuss an alternative approach to the uniformisation problem on surfaces with boundary by representing conformal structures on surfaces M of general type by hyperbolic metrics with boundary curves of constant positive geodesic curvature. In contrast to existing approaches to this problem, the boundary curves of our surfaces (M, g) cannot ...
openaire   +3 more sources

Normal automorphisms of relatively hyperbolic groups [PDF]

open access: yes, 2010
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin   +3 more
core   +1 more source

Conjugacy in normal subgroups of hyperbolic groups [PDF]

open access: yes, 2012
Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N.
Armando Martino   +3 more
core   +1 more source

Potential Theory on Gromov Hyperbolic Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2022
Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov ...
Kemper Matthias, Lohkamp Joachim
doaj   +1 more source

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