Search results for "c space"
showing 10 items of 552 documents
Nonlinear potential theory on metric spaces
2008
Uniformization of two-dimensional metric surfaces
2014
We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane or sphere and have locally finite Hausdorff 2-measure. Applying the geometric definition of quasiconformality, we give a necessary and sufficient condition for such spaces to be QC equivalent to the Euclidean plane, disk, or sphere. Moreover, we show that if such a QC parametrization exists, then the dilatation can be bounded by 2. As an application, we show that the Euclidean upper bound for measures of balls is a sufficient condition for the existence of a 2-QC parametrization. This result gives a new approach to the Bonk-Kleiner theorem on parametrizations of Ahlfors 2-regular spheres by qu…
Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метр…
2018
This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new. Namely, using an old result due to K. Deimling it is indicated that tvs-cone metric spaces over solid cones are actually cone metric spaces over normal solid cones. Hence, there are only cone metric spaces over normal solid cones or over normal non-solid cones. One question still unanswered is whether an ordered topological vector space with a non-normal non-solid cone exists. / В представленных, в данной статье, заметках приведен подробный обзор методов и полученных результатов исследо…
CHANGES IN THE CITY SPACE AGAINST THE BACKGROUND OF THE SUSTAINABLE DEVELOPMENT CONCEPT: THE CASE OF OPOLE
2021
Koncepcja zrównoważonego rozwoju zyskuje coraz większą popularność zarówno w nauce, jak i w praktyce. Jest ona podstawą do realizacji działań i inicjatyw mających na celu poprawę warunków życia ludności miejskiej przy jednoczesnym poszanowaniu środowiska naturalnego. Decyzje podejmowane przez zarządzających miastami dotyczące nowych projektów powinny uwzględniać efekty ekonomiczne i środowiskowe oraz głos społeczności lokalnej. Jest to zadanie niezwykle trudne, a jego wyniki mogą spotkać się z aprobatą lub krytyką. Niemniej jednak podejmowane działania powinny zmniejszać problemy, z jakimi boryka się miasto i jego mieszkańcy. Badania oparte zostały na opisowym studium przypadku jako metodol…
Treated waste water reuse impact on soil microbial community structure as assessed by Automated Ribosomal Intergenic Spacer Analysis (ARISA) fingerpr…
2007
International audience
On multivalued weakly Picard operators in partial Hausdorff metric spaces
2015
We discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem. Finally, we present sufficient conditions for well-posedness of a fixed point problem. Our results generalize, complement and extend classical theorems in metric and partial metric spaces.
Archicottura: architettura e pratiche sociali
2020
In una realtà interattiva e reattiva non stupisce il crescente interesse per la relazione tra architettura e pratiche sociali (Archi_Cottura). Delle molteplici declinazioni in cui il rapporto può essere inteso è utile soffermarsi, fra ‘cose’ e ‘dispositivi’, sui luoghi e gli spazi che individuano delle diverse potenzialità identitarie. Architettura e pratiche sociali intrattengono un legame più profondo se li consideriamo come forme di interpretazione del rapporto fra la memoria ancestrale dell’uomo e il dinamismo spaziale che si coagula in idee e azioni di progetto. Trovandoci nell’era della domotica questa tensione ermeneutica del costruire viene controbilanciata, all’interno dell’organis…
The Hajłasz Capacity Density Condition is Self-improving
2022
We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary Poincare inequalities, adapts Keith-Zhong techniques for establishing local Hardy inequalities and applies Koskela-Zhong arguments for proving self-improvement properties of local Hardy inequalities. This leads to a characterization of the Hajlasz capacity density condition in terms of a strict upper bound on the upper Assouad codimension of the underlying set, which shows the self-improvement property of the Hajlasz capacity density condition. Open Access funding provided than…
Multi-marginal entropy-transport with repulsive cost
2020
In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the $\Gamma$-convergence of the entropy-transport functional to a multi-marginal optimal transport problem with a repulsive cost. We also prove the entropy-regularized version of the Kantorovich duality.
Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces
2011
The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.