Results 81 to 90 of about 7,273 (258)

Some results on extended b-metric spaces and Pompeiu-Hausdorff metric.

open access: yes, 2017
In this paper we will show some new results about extended b- metric space. Given an extended b-metric space  (X,d), we may define a new extended b- metric space with Pompeiu- Hausdorff metric H on the set H(X) of the collection of all nonempty ...
Ledia Subashi   +3 more
core   +1 more source

Renormalization techniques for inflation systems and some of their applications

open access: yesActa Crystallographica Section A, EarlyView.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake   +4 more
wiley   +1 more source

Fixed points and coincidence points for multimaps with not necessarily bounded images

open access: yesFixed Point Theory and Applications, 2004
In metric spaces, single-valued self-maps and multimaps with closed images are considered and fixed point and coincidence point theorems for such maps have been obtained without using the (extended) Hausdorff metric, thereby generalizing many results in ...
S. V. R. Naidu
doaj   +2 more sources

Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies

open access: yesApplied General Topology, 2006
Recently it was shown that the lower Hausdorff metric (uniform) topology is generated by families of uniformly discrete sets as hit sets. This result leads to a new hypertopology which is the join of the above topology and the upper Vietoris topology ...
Giuseppe Di Maio   +2 more
doaj   +1 more source

Dimension and measure for generic continuous images

open access: yes, 2013
This work is supported by EPSRC Doctoral Training GrantsWe consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n.
James T. Hyde   +7 more
core   +1 more source

One‐Class Autoencoders for Porcelain Art Attribution: The Case of William Billingsley

open access: yesArchaeometry, EarlyView.
ABSTRACT This comprehensive study explores the application of advanced machine learning techniques, specifically one‐class autoencoders, for the authentication and attribution of English porcelain artworks. Focusing primarily on the works of William Billingsley (1758–1828), one of England's most celebrated porcelain decorators, we demonstrate how ...
Hassan Ugail   +3 more
wiley   +1 more source

Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces

open access: yes, 2012
In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadler’s fixed ...
Abbas, M   +4 more
core   +1 more source

Hausdorff Distance between Subsets of a Metric Space [PDF]

open access: yes, 2020
In this paper, after defining Hausdorff distance, the properties are described. Then, the space of closed and bounded subsets of a metric space endowed with the Hausdorff distance is ...
Moe Moe Yi
core  

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

open access: yesComputer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier   +5 more
wiley   +1 more source

The Gromov-Hausdorff propinquity for metric spectral triples

open access: yesAdvances in Mathematics, 2022
We define a metric on the class of metric spectral triples, which is null exactly between spectral triples with unitary equivalent Dirac operators and *-isomorphic underlying C*-algebras. This metric dominates the propinquity, and thus implies metric convergence of the compact quantum metric spaces induced by metric spectral triples.
openaire   +3 more sources

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