4 papers · 1 filter
Uniform convergence of distance functionals under remetrization and infima of hyperspace topologies
Yogesh Agarwal, Varun Jindal
The objective of this paper is twofold. In the first half of the paper, we investigate upper parts of the hyperspace convergences determined by uniform convergence of distance func…
Hyperspace convergences, bornologies and geometric set functionals
Yogesh Agarwal, Varun Jindal
For a bornology of subsets of a metric space , we consider the following unified approaches of hyperspace convergence: convergence induced through uniform conv…
Set convergences and uniform convergence of distance functionals on a bornology
Yogesh Agarwal, Varun Jindal
For a metric space , Beer, Naimpally, and Rodriguez-Lopez in ([17]) proposed a unified approach to explore set convergences via uniform convergence of distance functionals o…
Set Convergences via bornology
Yogesh Agarwal, Varun Jindal
This paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology on a metric space . Specific…