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On strong approximations of usc nonconvex-valued mappingsRepovš, Dušan, 1954- ; Semenov, Pavel Vladimirovič, 1952-Za poljubno navzgor polzvezno preslikavo ▫$F: X \to Y$▫ iz metričnega prostora ▫$X$▫ brez izoliranih točk v normiran prostor ▫$Y$▫ dokažemo obstoj enolične zvezne preslikave ▫$f: X \to Y$▫, za katero ... je Hausdorffova razdalja med grafoma ▫$\Gamma_F$▫ in ▫$\Gamma_f$▫ poljubno majhna, če ima "mera nekonveksnosti" vrednosti preslikave ▫$F$▫ primerno skupno zgornjo oceno. Tako dokažemo verzijo Beer-Cellinovega izreka pri pogoju kontrolirane opustitve konveksnosti vrednosti večličnih preslikav. Dani so tudi pogoji za tako krepko aproksimabilnost navzgor polzveznih preslikav z zvezdastimi vrednostmi v primerjavi z Beerovimi rezultati za Haudorffovo zvezne večlične preslikave z zvezdastimi vrednostmi.Source: Preprint series. - ISSN 1318-4865 (Letn. 38, št. 720, 2000, str. 1-14)Type of material - article, component partPublish date - 2000Language - englishCOBISS.SI-ID - 10028121
Author
Repovš, Dušan, 1954- |
Semenov, Pavel Vladimirovič, 1952-
Topics
matematika |
topologija |
večlične preslikave |
aproksimacija |
selekcije |
navzgor polzvezne preslikave |
parakonveksnost |
Hausdorffova razdalja |
funkcija nekonveksnosti |
mathematics |
topology |
multivalued mappings |
approximation |
selections |
paraconvexity |
upper semicontinuous mappings |
Hausdorf distance |
function of nonconvexity
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Repovš, Dušan, 1954- | 07083 |
Semenov, Pavel Vladimirovič, 1952- | 13317 |
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