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Volumn 104, Issue 2-3, 2005, Pages 229-233

A new geometric condition for Fenchel's duality in infinite dimensional spaces

Author keywords

subdifferentials; Banach space; Conjugate duality; Constraint qualifications; Subdifferentials

Indexed keywords

FUNCTIONS; GRAPH THEORY; MATHEMATICAL PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

EID: 27244447811     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-005-0614-3     Document Type: Article
Times cited : (66)

References (17)
  • 1
    • 0013468395 scopus 로고
    • Duality for the sum of convex functions in general Banach spaces
    • J.A. Barroso (ed), North Holland, Amsterdam
    • Attouch, H., Brézis, H.: Duality for the sum of convex functions in general Banach spaces. In: J.A. Barroso (ed) Aspects of Mathematics and its applications, North Holland, Amsterdam, pp 125-133, 1986
    • (1986) Aspects of Mathematics and Its Applications , pp. 125-133
    • Attouch, H.1    Brézis, H.2
  • 2
    • 27244435293 scopus 로고
    • Conjugate convex functions in topological vector spaces
    • Brøndsted, A.: Conjugate convex functions in topological vector spaces. Fys. Medd. Dans. Vid. Selsk. 34, 1-26 (1964)
    • (1964) Fys. Medd. Dans. Vid. Selsk. , vol.34 , pp. 1-26
    • Brøndsted, A.1
  • 4
    • 0004090913 scopus 로고
    • Convex cones, sets and functions
    • Princeton University, Princeton
    • Fenchel, W.: Convex cones, sets and functions. Lecture Notes, Princeton University, Princeton, 1953
    • (1953) Lecture Notes
    • Fenchel, W.1
  • 5
    • 0025462417 scopus 로고
    • A comparison of constraint qualifications in infinite-dimensional convex programming
    • Gowda, M.S., Teboulle, M.: A comparison of constraint qualifications in infinite-dimensional convex programming. SIAM J. Control and Optim. 28 (4), 925-935 (1990)
    • (1990) SIAM J. Control and Optim. , vol.28 , Issue.4 , pp. 925-935
    • Gowda, M.S.1    Teboulle, M.2
  • 7
    • 0000202885 scopus 로고
    • Subdifferential calculus using ε-subdifferentials
    • Hiriart-Urruty, J.-B., Phelps, R.R.: Subdifferential Calculus using ε-subdifferentials. J. of Funct. Anal. 118, 154-166 (1993)
    • (1993) J. of Funct. Anal. , vol.118 , pp. 154-166
    • Hiriart-Urruty, J.-B.1    Phelps, R.R.2
  • 8
    • 0025533626 scopus 로고
    • Duality and infinite dimensional optimization
    • Jeyakumar, V.: Duality and infinite dimensional optimization. Nonlinear Anal 15, 1111-1122 (1990)
    • (1990) Nonlinear Anal , vol.15 , pp. 1111-1122
    • Jeyakumar, V.1
  • 9
    • 0242679729 scopus 로고    scopus 로고
    • Characterizing set containments involving infinite convex constraints and reverse-convex constraints
    • Jeyakumar, V.: Characterizing set containments involving infinite convex constraints and reverse-convex constraints. SIAM J. Optim. 13, 947-959 (2003)
    • (2003) SIAM J. Optim. , vol.13 , pp. 947-959
    • Jeyakumar, V.1
  • 10
    • 2442552101 scopus 로고    scopus 로고
    • New sequential Lagrange multiplier conditions characterizing optimality without constraint qualifications for convex programs
    • Jeyakumar, V., Lee, G.M., Dinh, N.: New sequential Lagrange multiplier conditions characterizing optimality without constraint qualifications for convex programs. SIAM J. Optim. 14 (2), 534-547 (2003)
    • (2003) SIAM J. Optim. , vol.14 , Issue.2 , pp. 534-547
    • Jeyakumar, V.1    Lee, G.M.2    Dinh, N.3
  • 11
    • 0026867587 scopus 로고
    • Generalizations of Slater's constraint qualification for infinite convex programs
    • Jeyakumar, V., Wolkowicz, H.: Generalizations of Slater's constraint qualification for infinite convex programs. Math. Progr. 57 (1), 85-102 (1992)
    • (1992) Math. Progr. , vol.57 , Issue.1 , pp. 85-102
    • Jeyakumar, V.1    Wolkowicz, H.2
  • 12
    • 0040735453 scopus 로고
    • Fonctionnelles convexes
    • Collège de France
    • Moreau, J.-J.: Fonctionnelles convexes. Collège de France, Lecture Notes, 1967
    • (1967) Lecture Notes
    • Moreau, J.-J.1
  • 13
    • 0011283482 scopus 로고
    • Inf-convolution, sous-additivité, convexité des fonctions numeriques
    • Moreau, J.-J.: Inf-convolution, sous-additivité, convexité des fonctions numeriques. Journal de Matematiques Pures et Appliquées 49, 109-154 (1970)
    • (1970) Journal de Matematiques Pures et Appliquées , vol.49 , pp. 109-154
    • Moreau, J.-J.1
  • 14
    • 0242365790 scopus 로고    scopus 로고
    • Fenchel duality in infinite-dimensional setting and its applications
    • Ng, K.F., Song, W.: Fenchel duality in infinite-dimensional setting and its applications. Nonlinear Analysis 25, 845-858 (2003)
    • (2003) Nonlinear Analysis , vol.25 , pp. 845-858
    • Ng, K.F.1    Song, W.2
  • 15
    • 27244448908 scopus 로고
    • The Fenchel duality theorem in fréchet spaces
    • Rodrigues, B.: The Fenchel duality Theorem in Fréchet spaces. Optim 21, 13-22 (1990)
    • (1990) Optim , vol.21 , pp. 13-22
    • Rodrigues, B.1
  • 16
    • 38249019049 scopus 로고
    • e and the change of variable formula for conjugate functions
    • e and the change of variable formula for conjugate functions. Nonlinear Anal 14, 1111-1120 (1990)
    • (1990) Nonlinear Anal , vol.14 , pp. 1111-1120
    • Simons, S.1
  • 17
    • 0009618074 scopus 로고    scopus 로고
    • The operation of infimal convolution
    • Strömberg, T.: The operation of infimal convolution. Diss. Math. 352, 1-61 (1996)
    • (1996) Diss. Math. , vol.352 , pp. 1-61
    • Strömberg, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.