Moduli of continuity of selections from nonconvex maps

Alberto Bressan; Fabio Ancona

doi:10.1007/BF01039290

Moduli of continuity of selections from nonconvex maps

Research output: Contribution to journal › Article › peer-review

Abstract

We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.

Original language	English (US)
Pages (from-to)	47-63
Number of pages	17
Journal	Set-Valued Analysis
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF01039290
State	Published - Mar 1993

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1007/BF01039290

Cite this

@article{549b59cff21744d285f40b1b961c9e38,

title = "Moduli of continuity of selections from nonconvex maps",

abstract = "We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is H{\"o}lder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.",

author = "Alberto Bressan and Fabio Ancona",

year = "1993",

month = mar,

doi = "10.1007/BF01039290",

language = "English (US)",

volume = "1",

pages = "47--63",

journal = "Set-Valued Analysis",

issn = "0927-6947",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Moduli of continuity of selections from nonconvex maps

AU - Bressan, Alberto

AU - Ancona, Fabio

PY - 1993/3

Y1 - 1993/3

N2 - We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.

AB - We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.

UR - http://www.scopus.com/inward/record.url?scp=34250080687&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250080687&partnerID=8YFLogxK

U2 - 10.1007/BF01039290

DO - 10.1007/BF01039290

M3 - Article

AN - SCOPUS:34250080687

SN - 0927-6947

VL - 1

SP - 47

EP - 63

JO - Set-Valued Analysis

JF - Set-Valued Analysis

IS - 1

ER -

Moduli of continuity of selections from nonconvex maps

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this