Results 101 to 110 of about 147 (121)

Wijsman topology on function spaces

Rendiconti Del Circolo Matematico Di Palermo, 1997
Let \(X\) and \(Y\) be metric spaces and let \(X\times Y\) be assigned the product box metric. Let each continuous function on \(X\) to \(Y\) be identified with its graph, a subset of \(X\times Y\). The authors study on the space of continuous functions, the topology induced on their graphs, by the Wijsman hyperspace topology on \(\text{CL} (X\times Y)\
Ľubica Holá
exaly   +3 more sources

6 Hit-And-Far-Miss Topology: A Generalization of the Wijsman Topology

, 2009
exaly   +3 more sources

A study on the normality of Wijsman topology of a fuzzy metric space

Soft Computing, 2022
Zia Bashir, Asad Ullah, Bashir Zia
exaly   +2 more sources

Wijsman and Hit-and-Miss Topologies of Quasi-Metric Spaces

Set-Valued Analysis, 2003
The authors study the relationship between the Wijsman topology and (proximal) hit-and-miss topologies on hyperspaces of quasi-metric spaces. They establish the equivalence of these hypertopologies in terms of Urysohn families of sets. They also show that for quasi-metric spaces \((X,d)\), the Hausdorff extended quasi-pseudo-metric is compatible with ...
Rodríguez-López, Jesús, Romaguera, Salvador   +1 more
openaire   +2 more sources

Norms that generate the same Wijsman topology on convex sets

1995
Summary: In a Banach space \(X\), we introduce a criterion for comparing the Wijsman topologies that are induced by two equivalent norms of \(X\) on the hyperspace of closed convex sets \(C(X)\). Thereafter, we study the duality map associated with the unit ball of a given norm of \(X\) in relation to its composition with the polarity map.
openaire   +2 more sources

Wijsman asymptotic lacunary $$\mathcal {I}_2$$-invariant equivalence for double set sequences

Soft Computing, 2021
Uğur Ulusu, Erdinc Dundar, Dundar Erdinc   +2 more
exaly