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Volumn 131, Issue 4, 2003, Pages 1109-1113

A characterization of quasiconvex vector-valued functions

Author keywords

Polar cones; Quasiconvex vector valued functions; Scalarization

Indexed keywords


EID: 0037385541     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06761-8     Document Type: Conference Paper
Times cited : (43)

References (11)
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    • Borwein, J.M.1
  • 2
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    • _, Adjoint process duality, Math. Oper. Res. 8 (1983), no. 3, 403-434. MR 85h:90092
    • (1983) Math. Oper. Res. , vol.8 , Issue.3 , pp. 403-434
  • 3
    • 0022538977 scopus 로고
    • Norm duality for convex processes applications
    • MR 87d:90126
    • _, Norm duality for convex processes and applications, J. Optim. Theory Appl. 48 (1986), no. 1, 53-64. MR 87d:90126
    • (1986) J. Optim. Theory Appl. , vol.48 , Issue.1 , pp. 53-64
  • 6
    • 0012792052 scopus 로고
    • Minimax type theorems for n-valued functions
    • MR 84i:49045
    • Minimax type theorems for n-valued functions, Ann. Mat. Pura Appl. (4) 132 (1982). 113-130. MR 84i:49045
    • (1982) Ann. Mat. Pura Appl , vol.132 , Issue.4 , pp. 113-130
    • Ferro, F.1
  • 8
    • 0000298309 scopus 로고
    • A solvability theorem for a class of quasiconvex mappings with applications to optimization
    • MR 94i:90094
    • V. Jeyakumar, W. Oettli, and M. Natividad, A solvability theorem for a class of quasiconvex mappings with applications to optimization, J. Math. Anal. Appl. 179 (1993), no. 2, 537-546. MR 94i:90094
    • (1993) J. Math. Anal. Appl. , vol.179 , Issue.2 , pp. 537-546
    • Jeyakumar, V.1    Oettli, W.2    Natividad, M.3
  • 9
    • 0001505511 scopus 로고
    • Connectedness of the efficient point sets in quasiconcave vector maximization
    • MR 88f:90154
    • D. T. Luc, Connectedness of the efficient point sets in quasiconcave vector maximization, J. Math. Anal. Appl. 122 (1987), no. 2, 346-354. MR 88f:90154
    • (1987) J. Math. Anal. Appl. , vol.122 , Issue.2 , pp. 346-354
    • Luc, D.T.1
  • 10
    • 0004196333 scopus 로고
    • Springer-Verlag, Berlin. MR 92e:90003
    • _, Theory of vector optimization, Springer-Verlag, Berlin, 1989. MR 92e:90003
    • (1989) Theory of Vector Optimization
  • 11
    • 0002980199 scopus 로고    scopus 로고
    • Characterization of scalar quasiconvexity and convexity of locally Lipschitz vector-valued maps
    • MR 2001d:90069
    • P. H. Sach, Characterization of scalar quasiconvexity and convexity of locally Lipschitz vector-valued maps, Optimization 46 (1999), no. 3, 283-310. MR 2001d:90069
    • (1999) Optimization , vol.46 , Issue.3 , pp. 283-310
    • Sach, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.