Results 21 to 30 of about 514,724 (135)
The Wijsman and Attouch-Wets topologies on hyperspaces revisited
Topology and its Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lowen, Robert, Sioen, Mark
openaire +3 more sources
New Convergence Definitions for Sequences of Sets
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman I‐convergence and Wijsman I*‐convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman I‐Cauchy sequence and Wijsman I*‐Cauchy sequence and then study their certain properties.
Ömer Kişi +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 729-739, 2000., 2000 Approach uniformities were introduced in Lowen and Windels (1998) as the canonical generalization of both metric spaces and uniform spaces. This text presents in this new context of “quantitative” uniform spaces, a reflective completion theory which generalizes the well‐known completions of metric and uniform spaces. This completion behaves nicely with
Robert Lowen, Bart Windels
wiley +1 more source
On isometric embeddings and continuous maps onto the irrationals [PDF]
, 2017 Let $$f\,{:}\,E \rightarrow F$$f:E→F be a continuous map of a complete separable metric space E onto the irrationals. We shall show that if a complete separable metric space M contains isometric copies of every closed relatively discrete set in E, then M
E. Pol, R. Pol
semanticscholar +1 more source
Weak convergence of obliquely reflected diffusions [PDF]
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2015 Burdzy and Chen (1998) proved results on weak convergence of multidimensional normally reflected Brownian motions. We generalize their work by considering obliquely reflected diffusion processes.
A. Sarantsev
semanticscholar +1 more source
A Unif: A common supercategory of pMET and Unif
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 1-18, 1998., 1997 In order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. Approach uniformities uniformize the so‐called approach spaces, introduced in Lowen [8]. Different characterizations of approach uniformities are formulated.
R. Lowen, B. Windels
wiley +1 more source
Selections of set‐valued stochastic processes
International Journal of Stochastic Analysis, Volume 11, Issue 1, Page 73-78, 1998., 1997 We show that ℱt‐adapted, set‐valued stochastic processes satisfying mild continuity conditions admit, ℱt‐adapted, stochastically continuous selections.
Mariusz Michta, Longin E. Rybiński
wiley +1 more source
On Fuzzy Length Spaces and Fuzzy Geodesics [PDF]
, 2017 In this paper, the notion of a fuzzy length space is introduced, and the definition of a fuzzy geodesic in a fuzzy metric space is given.
Gozutok, U. (Ugur) +1 more
core +1 more source
On convergence of convex sets and relative Chebyshev centers [PDF]
, 1990 Stable isotope record from snow pit ...
Fujita, K +8 more
core +1 more source
Assembly, trafficking and function of gamma-secretase [PDF]
, 2006 gamma-Secretase catalyzes the final cleavage of the beta-amyloid precursor protein to generate amyloid-beta peptide, the principal component of amyloid plaques in the brains of patients suffering from Alzheimer's disease.
Baumeister R +9 more
core +1 more source