메뉴 건너뛰기




Volumn 249, Issue 2, 2000, Pages 351-366

A Selection Principle for Mappings of Bounded Variation

Author keywords

Helly's selection principle; bounded variation; metric space valued mappings; set valued mappings; regular selections

Indexed keywords


EID: 0034664335     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6844     Document Type: Article
Times cited : (38)

References (19)
  • 2
  • 3
    • 0001299831 scopus 로고    scopus 로고
    • On the theory of set-valued maps of bounded variation of one real variable
    • Chistyakov V. V. On the theory of set-valued maps of bounded variation of one real variable. Mat. Sb. 189:1998;153-176.
    • (1998) Mat. Sb. , vol.189 , pp. 153-176
    • Chistyakov, V.V.1
  • 4
    • 0002704144 scopus 로고    scopus 로고
    • On mappings of bounded variation with values in a metric space
    • Chistyakov V. V. On mappings of bounded variation with values in a metric space. Uspekhi Mat. Nauk. 54:1999;189-190.
    • (1999) Uspekhi Mat. Nauk , vol.54 , pp. 189-190
    • Chistyakov, V.V.1
  • 5
    • 0002085612 scopus 로고    scopus 로고
    • Mappings of bounded variation with values in a metric space: Generalizations
    • Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematic Surveys. Moscow: VINITI. p. 167-189
    • Chistyakov V. V. Mappings of bounded variation with values in a metric space: Generalizations. Pontryagin Conference: Nonsmooth Analysis and Optimization, Vol. 2. Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematic Surveys. 61:1999;VINITI, Moscow. p. 167-189.
    • (1999) Pontryagin Conference: Nonsmooth Analysis and Optimization, Vol. 2 , vol.61
    • Chistyakov, V.V.1
  • 6
    • 0002135257 scopus 로고    scopus 로고
    • Generalized variation of mappings with applications to composition operators and multifunctions
    • Chistyakov V. V. Generalized variation of mappings with applications to composition operators and multifunctions. Positivity. 2000.
    • (2000) Positivity
    • Chistyakov, V.V.1
  • 7
    • 0002211604 scopus 로고
    • Multivalued mappings and Borel sets
    • Ĉoban M. M. Multivalued mappings and Borel sets. Dokl. Akad. Nauk SSSR. 182:1968;514-517.
    • (1968) Dokl. Akad. Nauk SSSR , vol.182 , pp. 514-517
    • Ĉoban, M.M.1
  • 9
    • 0000330463 scopus 로고    scopus 로고
    • Differentiable selections and Castaing representations of multifunctions
    • Dentcheva D. Differentiable selections and Castaing representations of multifunctions. J. Math. Anal. Appl. 223:1998;371-396.
    • (1998) J. Math. Anal. Appl. , vol.223 , pp. 371-396
    • Dentcheva, D.1
  • 10
    • 0002946599 scopus 로고
    • On the existence of Lipschitz-continuous and differentiable selections for multifunctions
    • J. Guddat. Berlin: Akademie-Verlag
    • Dommisch G. On the existence of Lipschitz-continuous and differentiable selections for multifunctions. Guddat J., Parametric Optimization and Related Topics, Math. Res. 1987;60-73 Akademie-Verlag, Berlin.
    • (1987) Parametric Optimization and Related Topics, Math. Res. , pp. 60-73
    • Dommisch, G.1
  • 13
    • 0000077852 scopus 로고
    • Existence and properties of solutions of ẋ ∈ R(t, x)
    • Hermes H. Existence and properties of solutions of ẋ ∈ R(t, x). Stud. Appl. Math. 5:1969;188-193.
    • (1969) Stud. Appl. Math. , vol.5 , pp. 188-193
    • Hermes, H.1
  • 14
    • 84968465429 scopus 로고
    • On continuous and measurable selections and the existence of solutions of generalized differential equations
    • Hermes H. On continuous and measurable selections and the existence of solutions of generalized differential equations. Proc. Amer. Math. Soc. 29:1971;535-542.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 535-542
    • Hermes, H.1
  • 16
    • 0001232090 scopus 로고
    • Continuous selections. I
    • Michael E. A. Continuous selections. I. Ann. Math. 63:1956;361-382.
    • (1956) Ann. Math. , vol.63 , pp. 361-382
    • Michael, E.A.1
  • 19
    • 0000601081 scopus 로고
    • Single-valued representation of absolutely continuous set-valued mappings
    • Qiji Z. Single-valued representation of absolutely continuous set-valued mappings. Kexue Tongbao (Chinese). 31:1986;443-446.
    • (1986) Kexue Tongbao (Chinese) , vol.31 , pp. 443-446
    • Qiji, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.