2000•Journal of Harbin University of Civil Engineering and ArchitectureRequires access

Uniform convergence in space of set-valued maps

Xiaohua Li

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Abstract

In this paper, author put forward a net convergence in spaces of set-valued maps and discussed whether it can define one Topology that convergence in that Topology is just what net convergence was given We have proved quasi-uniform convergence and generalized uniform convergence did not have consistent Topology, but almost uniform convergence had consistent Topology The limit description and mutual relation of uniform convergence of the multi function spaces were also discussed

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What this paper is about

In this paper, author put forward a net convergence in spaces of set-valued maps and discussed whether it can define one Topology that convergence in that Topology is just what net convergence was given We have proved quasi-uniform convergence and generalized uniform convergence did not have consistent Topology, but almost uniform convergence had consistent Topology The limit description and mutual relation of uniform convergence of the multi function spaces were also discussed

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Available abstract

In this paper, author put forward a net convergence in spaces of set-valued maps and discussed whether it can define one Topology that convergence in that Topology is just what net convergence was given We have proved quasi-uniform convergence and generalized uniform convergence did not have consistent Topology, but almost uniform convergence had consistent Topology The limit description and mutual relation of uniform convergence of the multi function spaces were also discussed

Key concepts: Compact convergence, Modes of convergence (annotated index), Convergence (economics), Net (polyhedron), Topology (electrical circuits), Mathematics, Uniform convergence, Normal convergence

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