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Volumn 5, Issue 1, 1997, Pages 37-45

Convexity Criteria for Set-Valued Maps

Author keywords

Bifunction; Clarke derivative; Contingent derivative; Convexity; Monotonicity; Set valued map

Indexed keywords


EID: 0042731250     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008657617548     Document Type: Article
Times cited : (9)

References (14)
  • 2
    • 0041512762 scopus 로고
    • Weak tangent cone and optimization in Banach spaces
    • Borwein, J.: Weak tangent cone and optimization in Banach spaces, SIAM J. Control Optim. 16 (1978), 512-522.
    • (1978) SIAM J. Control Optim. , vol.16 , pp. 512-522
    • Borwein, J.1
  • 3
    • 84966220672 scopus 로고
    • Characterization of lower semicontinuous convex function
    • Correa, R., Jofre, A. and Thibault, L.: Characterization of lower semicontinuous convex function, Proc. Amer. Math. Soc. 116 (1992), 67-72.
    • (1992) Proc. Amer. Math. Soc. , vol.116 , pp. 67-72
    • Correa, R.1    Jofre, A.2    Thibault, L.3
  • 4
    • 84972979559 scopus 로고
    • Characterization of nonsmooth functions through their generalized gradients
    • Ellaia, E. and Hassouni, H.: Characterization of nonsmooth functions through their generalized gradients, Optimization 22 (1991), 401-416.
    • (1991) Optimization , vol.22 , pp. 401-416
    • Ellaia, E.1    Hassouni, H.2
  • 5
    • 84962984436 scopus 로고
    • Subdifferentials, local ∈-supports and Asplund spaces
    • Fabian, M.: Subdifferentials, local ∈-supports and Asplund spaces, J. London Math. Soc. (2) 34 (1986), 568-576.
    • (1986) J. London Math. Soc. (2) , vol.34 , pp. 568-576
    • Fabian, M.1
  • 6
    • 0002348503 scopus 로고
    • On classes of subdifferentiability spaces of Ioffe
    • Fabian, M.: On classes of subdifferentiability spaces of Ioffe, Nonlinear Anal. Theory, Method Appl. 12 (1988), 63-74.
    • (1988) Nonlinear Anal. Theory, Method Appl. , vol.12 , pp. 63-74
    • Fabian, M.1
  • 7
    • 0002574218 scopus 로고
    • Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss
    • Fabian, M.: Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss, Acta Univ. Carolinae 30 (1989), 51-56.
    • (1989) Acta Univ. Carolinae , vol.30 , pp. 51-56
    • Fabian, M.1
  • 8
    • 0011267369 scopus 로고
    • A characterization of Asplund spaces with help of local ∈-support of Ekeland-Lebourg
    • Fabian, M. and Zivkov, N. V.: A characterization of Asplund spaces with help of local ∈-support of Ekeland-Lebourg, C. R. Acad. Bulgare Sci. 38 (1985), 617-674.
    • (1985) C. R. Acad. Bulgare Sci. , vol.38 , pp. 617-674
    • Fabian, M.1    Zivkov, N.V.2
  • 10
    • 0003199356 scopus 로고
    • Theory of Vector Optimization
    • Springer-Verlag, New York
    • Luc, D. T.: Theory of Vector Optimization, Lecture Notes in Econ. Math. Syst. 319, Springer-Verlag, New York, 1989.
    • (1989) Lecture Notes in Econ. Math. Syst. , vol.319
    • Luc, D.T.1
  • 12
    • 84971791478 scopus 로고
    • Characterization of quasiconvex functions
    • Luc, D. T.: Characterization of quasiconvex functions, Bull. Austral. Math. Soc. 48 (1993), 393-405.
    • (1993) Bull. Austral. Math. Soc. , vol.48 , pp. 393-405
    • Luc, D.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.