Uniform convergence in space of set-valued maps
Xiaohua Li
Abstract
Xiaohua Li
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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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