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Volumn 316, Issue 1, 2006, Pages 346-356

Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone

Author keywords

Clarke's normal cone; Coderivative; Ekeland's variational principle; Set valued map; Vector optimization

Indexed keywords


EID: 29944434300     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.04.044     Document Type: Article
Times cited : (17)

References (13)
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  • 2
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    • G.Y. Chen X.X. Huang S.H. Hou A general approximate variational principle for set-valued maps J. Optim. Theory Appl. 106 2000 151-164
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    • Chen, G.Y.1    Huang, X.X.2    Hou, S.H.3
  • 4
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    • On the variational principle
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    • Ekeland, I.1
  • 5
    • 0242677016 scopus 로고    scopus 로고
    • The Ekeland variational principle for set-valued maps involving coderivatives
    • T.X.D. Ha The Ekeland variational principle for set-valued maps involving coderivatives J. Math. Anal. Appl. 286 2003 509-523
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 509-523
    • Ha, T.X.D.1
  • 6
    • 0002798456 scopus 로고
    • New concepts in nondifferentiable programming
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    • (1979) Bull. Soc. Math. France , vol.60 , pp. 57-85
    • Hiriart-Urruty, J.B.1
  • 7
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    • New stability results for Ekeland's E-variational principles for vector-valued and set-valued maps
    • X.X. Huang New stability results for Ekeland's E-variational principles for vector-valued and set-valued maps J. Math. Anal. Appl. 262 2001 12-23
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 12-23
    • Huang, X.X.1
  • 10
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    • Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems
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    • Mordukhovich, B.S.1
  • 11
    • 0000551562 scopus 로고
    • Generalized differential calculus for nonsmooth and set-valued mappings
    • B.S. Mordukhovich Generalized differential calculus for nonsmooth and set-valued mappings J. Math. Anal. Appl. 183 1994 250-288
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    • Mordukhovich, B.S.1
  • 12
    • 0004254331 scopus 로고
    • The theory of subgradients and its applications to problems of optimization: Convex and nonconvex functions
    • Berlin: Hedelman
    • R.T. Rockafellar The theory of subgradients and its applications to problems of optimization: Convex and nonconvex functions 1981 Hedelman Berlin
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  • 13
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    • Degrees of efficiency and degrees of minimality
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    • Zaffaroni, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.