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Volumn 75, Issue 2, 2003, Pages 221-231

Optimality criteria in set-valued optimization

Author keywords

Clarke epiderivative; Conearcwise connectedness; Contingent epiderivative; Optimality; Set valued optimization

Indexed keywords


EID: 0344549827     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700003736     Document Type: Article
Times cited : (25)

References (11)
  • 1
    • 0003086078 scopus 로고
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    • (ed. I. Nachbin), Adv. in Math. Suppl. Stud. 7a (Academic Press, New York)
    • J.-P. Aubin, 'Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions', in: Mathematical analysis and applications. Part A (ed. I. Nachbin), Adv. in Math. Suppl. Stud. 7a (Academic Press, New York, 1981) pp. 159-229.
    • (1981) Mathematical Analysis and Applications. Part A , pp. 159-229
    • Aubin, J.-P.1
  • 2
    • 0344529238 scopus 로고
    • Ioffe's fans and generalized derivatives of vector valued maps
    • Research Notes in Math. (Pitman, Boston)
    • _, 'Ioffe's fans and generalized derivatives of vector valued maps', in: Convex analysis and optimization (London, 1980) (eds. J.-P. Aubin and R. Vinter), Research Notes in Math. 57 (Pitman, Boston, 1982) pp. 1-17.
    • (1982) Convex Analysis and Optimization (London, 1980) , vol.57 , pp. 1-17
    • Aubin, J.-P.1    Vinter, R.2
  • 6
    • 0024035435 scopus 로고
    • Optimality conditions for maximizations of set-valued functions
    • H. W. Corley, 'Optimality conditions for maximizations of set-valued functions', J. Optim. Theory Appl. 58 (1988), 1-10.
    • (1988) J. Optim. Theory Appl. , vol.58 , pp. 1-10
    • Corley, H.W.1
  • 8
    • 17444448069 scopus 로고    scopus 로고
    • The Lagrange multiplier rule in set-valued optimization
    • A. Gotz and J. Jahn, 'The Lagrange multiplier rule in set-valued optimization', SIAM J. Optim. 10 (1999), 331-344.
    • (1999) SIAM J. Optim. , vol.10 , pp. 331-344
    • Gotz, A.1    Jahn, J.2
  • 9
    • 0031383054 scopus 로고    scopus 로고
    • Contingent epiderivative and set-valued optimization
    • J. Jahn and R. Rauh, 'Contingent epiderivative and set-valued optimization', Math. Methods Oper. Res. 46 (1997), 193-211.
    • (1997) Math. Methods Oper. Res. , vol.46 , pp. 193-211
    • Jahn, J.1    Rauh, R.2
  • 10
    • 0026117768 scopus 로고
    • Contingent derivatives of set-valued maps and applications to vector optimization
    • D. T. Luc, 'Contingent derivatives of set-valued maps and applications to vector optimization', Math. Programming 50 (1991), 99-111.
    • (1991) Math. Programming , vol.50 , pp. 99-111
    • Luc, D.T.1
  • 11
    • 0040383360 scopus 로고
    • Invexity in multifunction optimization
    • P. H. Sach and B. D. Craven, 'Invexity in multifunction optimization', Numer. Funct. Anal. Optim. 12 (1991), 383-394.
    • (1991) Numer. Funct. Anal. Optim. , vol.12 , pp. 383-394
    • Sach, P.H.1    Craven, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.