Results 81 to 90 of about 181 (133)

On Equivalence Of Some Basic Principles In Variational Analysis

open access: yes, 2008
The primary goal of this paper is to study relationships between certain basic principles of variational analysis and its applications to nonsmooth calculus and optimization.
Jonathan M. Borwein   +2 more
core  

Una caracterización de las bornologías polares

open access: yes
Let E be a regular b.c.s. ( a Hausdoff l.c.s. ), and let F be a normed space. We consider the spaces El all bounded ( continuous ) linear mappings of E into F, provided with its natural topology ( its equi continuous bornology ) . By defíning E^n= (E^n-1
Canela Campos, Miguel Ángel
core  

Induced Bornological Representations of Bornological Algebras I

open access: yesInduced Bornological Representations of Bornological Algebras I
openaire  

Set Convergences via Bornology

open access: yesSet-Valued and Variational Analysis
This paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology $\mathcal{S}$ on a metric space $(X,d)$. Specifically, it focuses on the upper parts of the following set convergences: convergence deduced through uniform convergence of distance functionals on $\mathcal{S}$ ($τ_{\mathcal ...
Varun Jindal
exaly   +5 more sources

Chapter I Bornology

open access: yesNorth-Holland Mathematics Studies, 1977
exaly   +3 more sources

Uniform Continuity and a New Bornology for a Metric Space

open access: yesSet-Valued and Variational Analysis, 2017
In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy continuity is preserved under uniform convergence on the bornology of totally bounded subsets ...
Gerald Beer   +2 more
exaly   +2 more sources

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