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Volumn 57, Issue 3, 2003, Pages 427-435

Characterizations of convex and quasiconvex set-valued maps

Author keywords

Generalized convex set valued maps; Polar cones; Scalarization

Indexed keywords

GRAPH THEORY; MAPPING; MATHEMATICAL MODELS; SET THEORY; THEOREM PROVING; VECTORS;

EID: 21244462825     PISSN: 14322994     EISSN: 14325217     Source Type: Journal    
DOI: 10.1007/s001860200260     Document Type: Article
Times cited : (32)

References (7)
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    • 0037385541 scopus 로고    scopus 로고
    • A characterization of quasiconvex vector-valued functions
    • Benoist J, Borwein JM, Popovici N (2001) A characterization of quasiconvex vector-valued functions. Proc. Amer. Math. Soc. 131:1109-1113
    • (2001) Proc. Amer. Math. Soc. , vol.131 , pp. 1109-1113
    • Benoist, J.1    Borwein, J.M.2    Popovici, N.3
  • 2
    • 0002279147 scopus 로고
    • Multivalued convexity and optimization: A unified approach to inequality and equality constraints
    • Borwein JM (1977) Multivalued convexity and optimization: a unified approach to inequality and equality constraints. Math. Programming 13:183-199
    • (1977) Math. Programming , vol.13 , pp. 183-199
    • Borwein, J.M.1
  • 3
    • 0000298309 scopus 로고
    • A solvability theorem for a class of quasiconvex mappings with applications to optimization
    • Jeyakumar V, Oettli W, Natividad M (1993) A solvability theorem for a class of quasiconvex mappings with applications to optimization. J. Math. Anal. Appl. 179:537-546
    • (1993) J. Math. Anal. Appl. , vol.179 , pp. 537-546
    • Jeyakumar, V.1    Oettli, W.2    Natividad, M.3
  • 4
    • 0009174654 scopus 로고    scopus 로고
    • Convexity for set-valued maps
    • Kuroiwa D (1996) Convexity for set-valued maps. Appl. Math. Lett. 9:97-101
    • (1996) Appl. Math. Lett. , vol.9 , pp. 97-101
    • Kuroiwa, D.1
  • 7
    • 0002980199 scopus 로고    scopus 로고
    • Characterization of scalar quasiconvexity and convexity of locally Lipschitz vector-valued maps
    • Sach PH (1999) Characterization of scalar quasiconvexity and convexity of locally Lipschitz vector-valued maps. Optimization 46:283-310
    • (1999) Optimization , vol.46 , pp. 283-310
    • Sach, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.