메뉴 건너뛰기




Volumn 42, Issue 1, 1997, Pages 9-37

An extension of D. C. Duality theory, with an appendix on *-subdifferentials

Author keywords

Dualities; Generalized conjugation; Generalized subdifferentials

Indexed keywords


EID: 0040656891     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939708844348     Document Type: Article
Times cited : (4)

References (22)
  • 1
    • 0000741430 scopus 로고
    • An extension of duality-stability relations to nonconvex optimization problems
    • Balder, E. J. (1977). An extension of duality-stability relations to nonconvex optimization problems. SIAM J. Control Optim., 15, 329-343.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 329-343
    • Balder, E.J.1
  • 2
    • 0022736422 scopus 로고
    • The conjugate of the difference of convex functions
    • Ellaia, R. and Hiriart-Urruty, J.-B. (1986). The conjugate of the difference of convex functions. J. Optim. Theory Appl., 49, 493-498.
    • (1986) J. Optim. Theory Appl. , vol.49 , pp. 493-498
    • Ellaia, R.1    Hiriart-Urruty, J.-B.2
  • 3
    • 34250263676 scopus 로고
    • Duality theorems for certain programs involving minimum or maximum operations
    • Flachs, J. and Pollatschek, M. A. (1979). Duality theorems for certain programs involving minimum or maximum operations. Math. Progr., 16, 348-370.
    • (1979) Math. Progr. , vol.16 , pp. 348-370
    • Flachs, J.1    Pollatschek, M.A.2
  • 4
    • 0039791184 scopus 로고
    • Generalized conjugation and related topics
    • Generalized convexity and fractional programming with economic applications (A. Cambini, Castagnoli, E., Martein, L., Mazzoleni, P. and Schaible, S. eds.), Springer-Verlag, Berlin, Heidelberg, New York
    • Martinez-Legaz, J.-E. (1990). Generalized conjugation and related topics. In: Generalized convexity and fractional programming with economic applications (A. Cambini, Castagnoli, E., Martein, L., Mazzoleni, P. and Schaible, S. eds.), Lecture Notes Econ. Math. Systems, 345, 168-197, Springer-Verlag, Berlin, Heidelberg, New York.
    • (1990) Lecture Notes Econ. Math. Systems , vol.345 , pp. 168-197
    • Martinez-Legaz, J.-E.1
  • 5
    • 84972049104 scopus 로고
    • A formula on the approximate subdifferential of the difference of convex functions
    • Martinez-Legaz, J.-E. and Seeger, A. (1992). A formula on the approximate subdifferential of the difference of convex functions. Bull. Austral. Math. Soc., 45, 37-41.
    • (1992) Bull. Austral. Math. Soc. , vol.45 , pp. 37-41
    • Martinez-Legaz, J.-E.1    Seeger, A.2
  • 6
    • 84963393724 scopus 로고
    • Dualities between complete lattices
    • Martinez-Legaz, J.-E. and Singer, I. (1990). Dualities between complete lattices. Optimization, 21, 483-508.
    • (1990) Optimization , vol.21 , pp. 483-508
    • Martinez-Legaz, J.-E.1    Singer, I.2
  • 7
    • 84930473144 scopus 로고
    • V -dualities and ⊥-dualities
    • Martinez-Legaz, J.-E. and Singer, I. (1990). V -dualities and ⊥-dualities. Optimization, 22, 483-511.
    • (1990) Optimization , vol.22 , pp. 483-511
    • Martinez-Legaz, J.-E.1    Singer, I.2
  • 10
    • 0040383344 scopus 로고
    • Dualities associated to binary operations on
    • Martinez-Legaz, J.-E. and Singer, I. (1995). Dualities associated to binary operations on R̄. J. Conv. Anal., 2, 185-209.
    • (1995) R̄. J. Conv. Anal. , vol.2 , pp. 185-209
    • Martinez-Legaz, J.-E.1    Singer, I.2
  • 12
    • 0011283482 scopus 로고
    • Inf-convolution, sous-additivité, convexité des fonctions numériques
    • Moreau, J.-J. (1970). Inf-convolution, sous-additivité, convexité des fonctions numériques. J. Math. Pures Appl., 49, 109-154.
    • (1970) J. Math. Pures Appl. , vol.49 , pp. 109-154
    • Moreau, J.-J.1
  • 13
    • 0040383389 scopus 로고
    • Bemerkungen über galois-verbindungen
    • Pickert, G. (1952). Bemerkungen über Galois-Verbindungen. Arch. Math, 3, 285-289.
    • (1952) Arch. Math , vol.3 , pp. 285-289
    • Pickert, G.1
  • 15
    • 84973992764 scopus 로고
    • A Fenchel-Rockafeller type duality theorem for maximization
    • Singer, I. (1979). A Fenchel-Rockafeller type duality theorem for maximization. Bull. Austral. Math. Soc. 20, 193-198.
    • (1979) Bull. Austral. Math. Soc. , vol.20 , pp. 193-198
    • Singer, I.1
  • 16
    • 0040977612 scopus 로고
    • Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-lagrangian duality theorems
    • Singer, I. (1980). Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Result. Math., 3, 235-238.
    • (1980) Result. Math. , vol.3 , pp. 235-238
    • Singer, I.1
  • 17
    • 27144477273 scopus 로고
    • Conjugations operators
    • Selected topics in operations research and mathematical economics (Hammer, G. and Pallaschke, D. eds.). Springer-Verlag, Berlin, Heidelberg, New York
    • Singer, I. (1984). Conjugations operators. In: Selected topics in operations research and mathematical economics (Hammer, G. and Pallaschke, D. eds.). Lecture Notes Econ. Math. Systems, 226, 80-877. Springer-Verlag, Berlin, Heidelberg, New York.
    • (1984) Lecture Notes Econ. Math. Systems , vol.226 , pp. 80-877
    • Singer, I.1
  • 18
    • 38249043137 scopus 로고
    • Some relations between dualities, polarities, coupling functionals and conjugations
    • Singer, I. (1986). Some relations between dualities, polarities, coupling functionals and conjugations. J. Math. Anal. Appl., 115, 1-22.
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 1-22
    • Singer, I.1
  • 19
    • 0039791160 scopus 로고
    • Infimal generators and dualities between complete lattices
    • Singer, I. (1987). Infimal generators and dualities between complete lattices. Ann. Mat. Pura Appl., 148, 289-352.
    • (1987) Ann. Mat. Pura Appl. , vol.148 , pp. 289-352
    • Singer, I.1
  • 20
    • 0039791183 scopus 로고
    • Generalizations of convex supremization duality
    • Nonlinear and convex analysis (Lin, B.-L. and Simons, S. eds.). Marcel Dekker, New York
    • Singer, I. (1987). Generalizations of convex supremization duality. In: Nonlinear and convex analysis (Lin, B.-L. and Simons, S. eds.). Lecture Notes Pure Appl. Math., 107, 253-270, Marcel Dekker, New York.
    • (1987) Lecture Notes Pure Appl. Math. , vol.107 , pp. 253-270
    • Singer, I.1
  • 21
    • 0008984095 scopus 로고
    • Duality in nonconvex optimization
    • Toland, J. -F. (1978). Duality in nonconvex optimization. J. Math. Anal. Appl., 66, 399-415.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 399-415
    • Toland, J.-F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.