Results 81 to 90 of about 2,822 (176)

Near Fixed Point Theorems in Hyperspaces

Mathematics, 2018
The hyperspace consists of all the subsets of a vector space. It is well-known that the hyperspace is not a vector space because it lacks the concept of inverse element. This also says that we cannot consider its normed structure, and some kinds of fixed
Hsien-Chung Wu
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Compactness and axioms of countability in soft hyperspaces

AIMS Mathematics
In this paper, we studied the compactness relationships, the local compactness relationships, the separability, and the axiom of countability relationships in a soft topological space and its soft hyperspaces. In particular, the compactness relationships,
G. Şenel, J. I. Baek, S. H. Han, M. Cheong, K. Hur   +4 more
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Topologies on function spaces and hyperspaces

Applied General Topology, 2009
Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give and study new topologies on the sets C(
D.N. Georgiou
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The Hyperspaces $K(X)$

Rocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some remarks on Pixley-Roy hyperspaces

Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên
In this paper, we study cellular-compact, cellular-Lindel\"of, strongly star-Hurewicz, strongly star-Rothberger, strongly star-Menger spaces on hyperspaces with the Pixley-Roy topology.
Quoc Tuyen Luong, Van Tuyen Ong, Xuan Truc Nguyen   +2 more
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Disconnectedness properties of Hyperspaces

, 2011
Let $X$ be a Hausdorff space and let $\mathcal{H}$ be one of the hyperspaces $CL(X)$, $\mathcal{K}(X)$, $\mathcal{F}(X)$ or $\mathcal{F}_n(X)$ ($n$ a positive integer) with the Vietoris topology. We study the following disconnectedness properties for $\mathcal{H}$: extremal disconnectedness, being a $F^\prime$-space, $P$-space or weak $P$-space and ...
Hernández-Gutiérrez, Rodrigo, Tamariz-Mascarúa, Angel   +1 more
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Uniformizable and realcompact bornological universes

Applied General Topology, 2009
Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory.
Tom Vroegrijk
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On representation of semigroups of inclusion hyperspaces

Karpatsʹkì Matematičnì Publìkacìï, 2013
Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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Anchored Hyperspaces and Multigraphs

Contributions to Discrete Mathematics, 2019
Consider a multigraph $X$ as a metric space and $p \in X$. The anchored hyperspace at $p$ is the set  $C_p(X) =$ {$A \subseteq X : p \in A, A$ connected and compact}. In this paper we will prove that $C_p(X)$ is a polytope if in this set is considered the Hausdorff's metric $H$.
Reyna, Gerardo, Romero, Jesús, Espinobarros, Ivan   +2 more
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Induced mappings on hyperspaces

Tsukuba Journal of Mathematics, 1997
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