메뉴 건너뛰기




Volumn 48, Issue 2, 1998, Pages 273-285

Directional derivatives for set-valued mappings and applications

Author keywords

Directional derivative; Mean value theorem; Optimality condition; Set valued mapping

Indexed keywords

DIRECTIONAL DERIVATIVES; JACOBIFICATOR; MEAN VALUE THEOREM; OPTIMALITY CONDITION; SET VALUED MAPPINGS;

EID: 0032295473     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860050028     Document Type: Article
Times cited : (24)

References (19)
  • 2
    • 0002279147 scopus 로고
    • Multi-valued convexity and optimization: A unified approach
    • Borwein JM (1977) Multi-valued convexity and optimization: a unified approach. Math. Prog. 13:183-199
    • (1977) Math. Prog. , vol.13 , pp. 183-199
    • Borwein, J.M.1
  • 3
    • 0002719860 scopus 로고
    • A vector variational inequality and optimization over an efficient set
    • Chen GY, Craven BD (1990) A vector variational inequality and optimization over an efficient set. ZOR - Math. Meth. Oper. Res. 34:1-12
    • (1990) ZOR - Math. Meth. Oper. Res. , vol.34 , pp. 1-12
    • Chen, G.Y.1    Craven, B.D.2
  • 5
    • 44949289033 scopus 로고
    • The vector complementarity problem and its equivalences with weak minimal element
    • Chen G-Y, Yang XQ (1990) The vector complementarity problem and its equivalences with weak minimal element. J. Math. Anal. Appl. 153:136-158
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 136-158
    • Chen, G.-Y.1    Yang, X.Q.2
  • 6
    • 0024035435 scopus 로고
    • Optimality conditions for maximisations of set-valued functions
    • Corley HW (1988) Optimality conditions for maximisations of set-valued functions. J. Optimi. Theory Appl. 58:1-10
    • (1988) J. Optimi. Theory Appl. , vol.58 , pp. 1-10
    • Corley, H.W.1
  • 9
    • 0031383054 scopus 로고    scopus 로고
    • Contingent epiderivatives and set-valued optimization
    • to appear
    • Jahn J, Rauh R (1997) Contingent epiderivatives and set-valued optimization. ZOR - Math. Meth. Oper. Res. (to appear)
    • (1997) ZOR - Math. Meth. Oper. Res.
    • Jahn, J.1    Rauh, R.2
  • 12
    • 0026117768 scopus 로고
    • Contingent derivatives of set-valued maps and applications to vector optimization
    • Luc DT (1991) Contingent derivatives of set-valued maps and applications to vector optimization. Math. Prog. 50:99-111
    • (1991) Math. Prog. , vol.50 , pp. 99-111
    • Luc, D.T.1
  • 14
    • 0039166140 scopus 로고
    • Subdifferentials of nonconvex vector-valued functions
    • Thibault L (1982) Subdifferentials of nonconvex vector-valued functions. J. Math. Anal. Appl. 86:319-344
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 319-344
    • Thibault, L.1
  • 15
    • 0039166156 scopus 로고
    • Sous-differentiabilite de fonctions convexes a valeurs dans un espace vectoriel ordonne
    • Valadir M (1972) Sous-differentiabilite de fonctions convexes a valeurs dans un espace vectoriel ordonne. Math. Scand. 30:65-72
    • (1972) Math. Scand. , vol.30 , pp. 65-72
    • Valadir, M.1
  • 16
    • 0005426270 scopus 로고
    • A separation theorem of convex sets on ordered vector space and its applications
    • Wang SS (1986) A separation theorem of convex sets on ordered vector space and its applications. Acta Math. Appl. Sinica 9:309-318
    • (1986) Acta Math. Appl. Sinica , vol.9 , pp. 309-318
    • Wang, S.S.1
  • 17
    • 0002926785 scopus 로고
    • A Hahn-Banach theorem in ordered linear spaces and its applications
    • Yang XQ (1992) A Hahn-Banach theorem in ordered linear spaces and its applications. Optimisation 25:1-9
    • (1992) Optimisation , vol.25 , pp. 1-9
    • Yang, X.Q.1
  • 18
    • 0043070536 scopus 로고    scopus 로고
    • A generalized upper Dini-directional derivative in vector optimisation
    • Yang XQ (1997) A generalized upper Dini-directional derivative in vector optimisation. Optimisation 43:339-351
    • (1997) Optimisation , vol.43 , pp. 339-351
    • Yang, X.Q.1
  • 19
    • 0039758676 scopus 로고
    • Subdifferentiability of convex functions with values in ordered vector spaces
    • Zowe J (1974) Subdifferentiability of convex functions with values in ordered vector spaces. Math. Scand. 34:69-83
    • (1974) Math. Scand. , vol.34 , pp. 69-83
    • Zowe, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.