Continuous convergence and preservation of convergences of sets

DOI10.1016/0022-247X(86)90168-XzbMath0623.54010MaRDI QIDQ1091630

B. George

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceoptimization theoryfiltered familyHadamard differentiationspace of multifunctions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (2)

Stability of efficient sets: continuity of mobile polarities ⋮ Topological existence and stability for min sup problems

Cites Work

• Quasi-uniformization of topological spaces
• Tangency and differentiation: Some applications of convergence theory
• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• Closed filters and graph-closed multifunctions in convergence spaces
• On structure of upper semicontinuity
• Compactoid and compact filters
• Topologies for function spaces
• Convergence of minima in convergence spaces¹
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