Continuous selections for multivalued mappings with closed convex images and applications

DOI10.1006/JMAA.2000.7086zbMath0987.54023OpenAlexW2027387815MaRDI QIDQ1840808

Falun Huang, Hong-Xu Li

Publication date: 11 February 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7086

zbMATH Keywords

differential inclusionspartial lower semicontinuity

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Ordinary differential inclusions (34A60)

Cites Work

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• Continuous selections. I
• Paraconvexity of the graphs of Lipschitzian functions
• Concepts of lower semicontinuity and continuous selections for convex valued multifunctions
• Selection theorems under an assumption weaker than lower semi-continuity
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• Continuous Selections for Weakly Hausdorff Lower Semicontinuous Multifunctions
• Michael's theory of continuous selections. Development and applications

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