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Volumn 97, Issue 1, 1998, Pages 29-45

Subdifferential Properties of Quasiconvex and Pseudoconvex Functions: Unified Approach

Author keywords

Abstract subdifferential; Mixed property; Nonsmooth analysis; Pseudoconvexity; Quasiconvexity

Indexed keywords

ABSTRACT SUBDIFFERENTIAL; MIXED PROPERTY; NON-SMOOTH ANALYSIS; PROPERTY; PSEUDOCONVEX; PSEUDOCONVEXITY; QUASI CONVEXITY; QUASICONVEX; QUASICONVEX FUNCTIONS; SUBDIFFERENTIALS;

EID: 0032358211     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022618915698     Document Type: Article
Times cited : (59)

References (16)
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  • 3
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    • DIEWERT, W. E., Alternative Characterizations of Six Kinds of Quasiconcavity in the Nondifferentiable Case with Applications to Nonsmooth Programming, Generalized Concavity in Optimization and Economics, Edited by S. Schaible and W. T. Ziemba, Academic Press, New York, New York, pp. 51-93, 1981.
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    • Université des Antilles et de la Guyane
    • AUSSEL, D., CORVELLEC, J. N., and LASSONDE, M., Nonsmooth Constrained Optimization and Multidirectional Mean- Value Inequalities, Research Report 96/ 04, Université des Antilles et de la Guyane, 1996.
    • (1996) Research Report 96/ 04
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  • 7
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    • Subdifferential Characterization of Quasiconvexity and Convexity
    • AUSSEL, D., CORVELLEC, J. N., and LASSONDE, M., Subdifferential Characterization of Quasiconvexity and Convexity, Journal of Convex Analysis, Vol. 1, pp. 195-201, 1994.
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    • Aussel, D.1    Corvellec, J.N.2    Lassonde, M.3
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    • On Generalized Convexity of Functions and Generalized Monotonicity of Set-Valued Maps
    • PENOT, J. P., and QUANG, H. P., On Generalized Convexity of Functions and Generalized Monotonicity of Set-Valued Maps, Journal of Optimization Theory and Applications, Vol. 92, pp. 343-356, 1997.
    • (1997) Journal of Optimization Theory and Applications , vol.92 , pp. 343-356
    • Penot, J.P.1    Quang, H.P.2
  • 11
    • 0000295695 scopus 로고
    • Generalized Directional Derivatives and Subgradients of Nonconvex Functions
    • ROCKAFELLAR, R. T., Generalized Directional Derivatives and Subgradients of Nonconvex Functions, Canadian Journal of Mathematics, Vol. 32, pp. 257-280, 1980.
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    • Rockafellar, R.T.1
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    • 0020766555 scopus 로고
    • Some Properties of Nondifferentiable Pseudoconvex Functions
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    • Edited by D. Z. Du, L. Qi, and R. S. Womersley, World Scientific Publishers, Singapore
    • KOMLOSI, S., Monotonicity and Quasimonotonicity in Nonsmooth Analysis, Recent Advances in Nonsmooth Optimization, Edited by D. Z. Du, L. Qi, and R. S. Womersley, World Scientific Publishers, Singapore, pp. 101-124, 1994.
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    • Komlosi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.