Results 41 to 50 of about 353,858 (83)
Quasihyperbolic geometry of planar domains
, 2008 Let k(a, b) denote the quasihyperbolic distance between points a, b in a domain G ⊂ R2. We show that there is a universal constant c0> 0 with the following properties: (1) If k(a, b) < c0, then there is only one quasihyperbolic geodesic from a to b.
Väisälä, Jussi, Jussi Väisälä
core
UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core +1 more source
Convexity in quasi-metric spaces [PDF]
, 2012 Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core +1 more source
Quasihyperbolic mappings in Banach spaces
, 2021 In this paper, we establish several characterizations for quasihyperbolic mappings in Banach spaces. As an application, we provide a partial solution to a problem left open by Väisälä regarding the local properties of quasihyperbolic ...
Zhou, Qingshan
core
A naive generalization of the hyperbolic and the quasihyperbolic metrics
Although the hyperbolic metric possesses many remarkable properties, it is not defined on arbitrary subdomains of $\mathbb{R}^n$ with $n \geq 2$. This article introduces a new hyperbolic-type metric that provides an alternative approach to this limitation.
Maji, Bibekananda +2 more
openaire +2 more sources
On a generalized quasihyperbolic condition in a bounded domain [PDF]
, 2021 We study properties of bounded domains when the domains satisfy a generalized quasihyperbolic growth condition.Peer ...
Rogovin, Sari +3 more
core
Duality of capacities and Sobolev extendability in the plane. [PDF]
Complex Analysis Synerg, 2021 Zhang YR.
europepmc +1 more source
Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]
, 2013 Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
core +1 more source
Elliptic Diffusions, Exit Times and the Quasihyperbolic Metric
, 2002 We show that the expected lifetime of a conditioned elliptic diffusion in a bounded domain in R^n is bounded above by an absolute constant times the sum of the volume of the domain and the p-th power of the L^p-norm of the quasihyperbolic metric all ...
Craig Nolder
core
A Fisher-Rao metric for paracatadioptric images of lines [PDF]
, 2012 In a central paracatadioptric imaging system a perspective camera takes an image of a scene reflected in a paraboloidal mirror. A 360° field of view is obtained, but the image is severely distorted.
Maybank, Stephen J. +2 more
core +1 more source