NDLI: On set-valued mappings with starlike graphs

Content Provider	Springer Nature Link
Author	Khachatryan, R. A.
Copyright Year	2012
Abstract	The paper studies some topological properties of starlike bodies. It is proved that the boundary of a starlike body is a Lipschitz surface. A separability theorem for starlike bodies is proved. It is shown that under some additional assumptions the starlike property of the graph provides the local Lipschitz property of the set-valued mapping itself. It is shown that F. Clark’s contingent and tangential cones are Boltyansky tents. On the base of these results, some lower and upper differentials for set-valued mappings with starlike graphs are constructed. Some theorems on fixed points of set-valued mappings with starlike values are proved.
Starting Page	28
Ending Page	44
Page Count	17
File Format	PDF
ISSN	10683623
Journal	Journal of Contemporary Mathematical Analysis
Volume Number	47
Issue Number	1
e-ISSN	19349416
Language	English
Publisher	Allerton Press, Inc.
Publisher Date	2012-02-26
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Starlike set tangent cone tent set-valued mapping Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Analysis

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On set-valued mappings with starlike graphs