Graph Convergence of Set-Valued Maps and its Relationship to Other Convergences

DOI10.1515/JAA.2000.213zbMath0990.54019MaRDI QIDQ2706912

M. Di Iorio, Immacolata Del Prete, L'ubica Holá

Publication date: 19 August 2002

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

pointwise convergencecontinuous convergencegraph convergenceeven-outer-semicontinuity

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20)

Related Items (6)

Algebraic and topological structure of some spaces of set-valued maps ⋮ Topological properties of the multifunction space L(X) of cusco maps ⋮ Pointwise topological convergence and topological graph convergence of set-valued maps ⋮ Cardinal invariants of the topology of uniform convergence on compact sets on the space of minimal USCO maps ⋮ Locally Quasi-Möbius Mappings on a Circle ⋮ Unnamed Item

Cites Work

• Tangency and differentiation: Some applications of convergence theory
• Concepts of similarity for utility functions
• Convergence of epigraphs and of sublevel sets
• Convergence of set-valued mappings: Equi-outer semicontinuity

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