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Journal of Mathematical Analysis and Applications
Volumn 285, Issue 1, 2003, Pages 74-85
Second order optimality conditions for the extremal problem under inclusion constraints
Author keywords

Contingent cone; Optimality condition; Second order approximation; Second order contingent set; Support function
Indexed keywords

EID: 0141626910     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00399-8     Document Type: Article
Times cited : (26)
References (10)
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    • Allali, K.1    Amahroq, T.2
  • 2
    • 0035576457 scopus 로고    scopus 로고
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    • T. Amahroq, N. Gadhi, On the regularity condition for vector programming problems, J. Global Optim. 21 (2001) 435-443.
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    • Amahroq, T.1    Gadhi, N.2
  • 3
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    • Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
    • A. Ben-Tal, J. Zowe, Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems, Math. Programming 24 (1982) 70-91.
    • (1982) Math. Programming , vol.24 , pp. 70-91
    • Ben-Tal, A.1    Zowe, J.2
  • 4
    • 0020167088 scopus 로고
    • A unified theory of first and second order conditions for extremum problems in topological vector spaces
    • A. Ben-Tal, J. Zowe, A unified theory of first and second order conditions for extremum problems in topological vector spaces, Math. Programming Study 19 (1982) 39-76.
    • (1982) Math. Programming Study , vol.19 , pp. 39-76
    • Ben-Tal, A.1    Zowe, J.2
  • 5
    • 0001303990 scopus 로고
    • Metric regularity, tangent sets and second order optimality conditions
    • R. Cominetti, Metric regularity, tangent sets and second order optimality conditions, Appl. Math. Optim. 21 (1990) 265-287.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 265-287
    • Cominetti, R.1
  • 6
    • 0346774478 scopus 로고
    • Locally Lipschitzian set-valued maps and general extremal problems with inclusion constraints
    • Thesis, Hanoi
    • P.H. Dien, Locally Lipschitzian set-valued maps and general extremal problems with inclusion constraints, Thesis, Hanoi, 1983.
    • (1983)
    • Dien, P.H.1
  • 7
    • 0011263801 scopus 로고
    • Second order optimality conditions for the extremal problem under inclusion constraints
    • P.H. Dien, P.H. Sach, Second order optimality conditions for the extremal problem under inclusion constraints, Appl. Math. Optim. 20 (1989) 71-80.
    • (1989) Appl. Math. Optim. , vol.20 , pp. 71-80
    • Dien, P.H.1    Sach, P.H.2
  • 9
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    • An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems
    • H. Kawasaki, An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems, Math. Programming 41 (1988) 73-96.
    • (1988) Math. Programming , vol.41 , pp. 73-96
    • Kawasaki, H.1
  • 10
    • 0000458852 scopus 로고
    • Valeur moyenne pour gradient généralisé
    • G. Lebourg, Valeur moyenne pour gradient généralisé, C. R. Acad. Sci. Paris 281 (1975) 795-797.
    • (1975) C. R. Acad. Sci. Paris , vol.281 , pp. 795-797
    • Lebourg, G.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.