On structure of upper semicontinuity

DOI10.1016/0022-247X(82)90213-XzbMath0503.54023MaRDI QIDQ1173296

Szymon Dolecki, Alojzy Lechicki

Publication date: 1982

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

zbMATH Keywords

characterization theoremstrong upper semi-continuityVainstein lemma

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Weak and generalized continuity (54C08)

Related Items

Continuous convergence and preservation of convergences of sets, First class selectors for upper semi-continuous multifunctions, A note on the solution set in optimization with respect to cones, On a theorem of Choquet and Dolecki, Bornological convergence and shields, New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations, A sequential property of set-valued maps, Some topological problems in multifunctions theory, Compactoidness, Topological properties defined by games and their applications, Generalized metric properties and kernels of set-valued maps, Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions, A Note on Functionally Compact Spaces, Parametrized multicriteria optimization; order continuity of the marginal multifunctions, Inherent compactness of upper continuous set valued maps, On the Choquet-Dolecki theorem, Boundaries of and selectors for upper semi-continuous multi-valued maps

Cites Work

• Metric characterizations of upper semicontinuity
• Subcontinuity for multifunctions
• On bounded and subcontinuous multifunctions
• A note on closed maps and compact sets
• Mappings and realcompact spaces
• Noncontinuous multifunctions
• Some topological problems in multifunctions theory
• Topologies on Spaces of Subsets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item