메뉴 건너뛰기




Volumn 12, Issue 2, 2005, Pages 279-290

A dual condition for the convex subdifferential sum formula with applications

Author keywords

Clarke Ekeland duality; Convex optimization; Necessary and sufficient conditions; Strong conical hull intersection property

Indexed keywords


EID: 23744457391     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (84)

References (22)
  • 1
    • 0013468395 scopus 로고
    • Duality for the sum of convex functions in general Banach spaces
    • J. A. Barroso (ed.), North Holland, Amsterdam
    • H. Attouch, H. Brézis: Duality for the sum of convex functions in general Banach spaces, in: Aspects of Mathematics and its Applications, J. A. Barroso (ed.), North Holland, Amsterdam (1986) 125-133.
    • (1986) Aspects of Mathematics and Its Applications , pp. 125-133
    • Attouch, H.1    Brézis, H.2
  • 2
    • 0347211614 scopus 로고    scopus 로고
    • A general duality principle for the sum of two operators
    • H. Attouch, M. Théra: A general duality principle for the sum of two operators, J. Convex Analysis 3(1) (1996) 1-24.
    • (1996) J. Convex Analysis , vol.3 , Issue.1 , pp. 1-24
    • Attouch, H.1    Théra, M.2
  • 3
    • 0001030731 scopus 로고    scopus 로고
    • Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization
    • H. H. Bauschke, J. M. Borwein, W. Li: Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization, Math. Progr. 86 (1999) 135-160.
    • (1999) Math. Progr. , vol.86 , pp. 135-160
    • Bauschke, H.H.1    Borwein, J.M.2    Li, W.3
  • 4
    • 85174220840 scopus 로고    scopus 로고
    • Bounded linear regularity, strong CHIP, and CHIP are distinct properties
    • H. H. Bauschke, J. M. Borwein, P. Tseng: Bounded linear regularity, strong CHIP, and CHIP are distinct properties, J. Convex Analysis 7(2) (2000) 395-412.
    • (2000) J. Convex Analysis , vol.7 , Issue.2 , pp. 395-412
    • Bauschke, H.H.1    Borwein, J.M.2    Tseng, P.3
  • 5
    • 32044450566 scopus 로고    scopus 로고
    • A simple closure condition for the normal cone intersection formula
    • Applied Mathematics Preprint, University of New South Wales, Sydney, Australia. To appear in
    • R. S. Burachik, V. Jeyakumar: A simple closure condition for the normal cone intersection formula, Applied Mathematics Preprint, University of New South Wales, Sydney, Australia. To appear in Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
    • Burachik, R.S.1    Jeyakumar, V.2
  • 7
    • 84980158831 scopus 로고
    • Hamiltonian trajectories having prescribed minimal period
    • F. Clarke, I. Ekeland: Hamiltonian trajectories having prescribed minimal period, Comm. Pure Appl. Math. 33(2) (1980) 103-116.
    • (1980) Comm. Pure Appl. Math. , vol.33 , Issue.2 , pp. 103-116
    • Clarke, F.1    Ekeland, I.2
  • 8
    • 0013502738 scopus 로고    scopus 로고
    • The role of conical hull intersection property in convex optimization and approximation
    • C.K. Chui, L.L. Schumaker (eds.), Vanderbilt University Press, Nashville
    • F. Deutsch: The role of conical hull intersection property in convex optimization and approximation, in: Approximation Theory IX, C.K. Chui, L.L. Schumaker (eds.), Vanderbilt University Press, Nashville (1998).
    • (1998) Approximation Theory IX
    • Deutsch, F.1
  • 9
    • 0033245917 scopus 로고    scopus 로고
    • Fenchel duality and the strong conical hull intersection property
    • F. Deutsch, W. Li, J. Swetits: Fenchel duality and the strong conical hull intersection property, J. Optim. Theory Appl. 102 (1999) 681-695.
    • (1999) J. Optim. Theory Appl. , vol.102 , pp. 681-695
    • Deutsch, F.1    Li, W.2    Swetits, J.3
  • 11
    • 0000202885 scopus 로고
    • Subdifferential calculus using ε-subdifferentials
    • J.-B. Hiriart-Urruty, R. R. Phelps: Subdifferential calculus using ε-subdifferentials, J. Funct. Anal. 118 (1993) 154-166.
    • (1993) J. Funct. Anal. , vol.118 , pp. 154-166
    • Hiriart-Urruty, J.-B.1    Phelps, R.R.2
  • 12
    • 0025533626 scopus 로고
    • Duality and infinite dimensional optimization
    • V. Jeyakumar: Duality and infinite dimensional optimization, Nonlinear Anal. 15 (1990) 1111-1122.
    • (1990) Nonlinear Anal. , vol.15 , pp. 1111-1122
    • Jeyakumar, V.1
  • 13
    • 2442552101 scopus 로고    scopus 로고
    • New sequential Lagrange multiplier conditions characterizing optimality without constraint qualifications for convex programs
    • V. Jeyakumar, G. M. Lee, N. Dinh: New sequential Lagrange multiplier conditions characterizing optimality without constraint qualifications for convex programs, SIAM J. Optim. 14(2) (2003) 534-547.
    • (2003) SIAM J. Optim. , vol.14 , Issue.2 , pp. 534-547
    • Jeyakumar, V.1    Lee, G.M.2    Dinh, N.3
  • 14
    • 34648867053 scopus 로고    scopus 로고
    • A new closed cone constraint qualification for convex optimization
    • University of New South Wales, submitted for publication
    • V. Jeyakumar, G. M. Lee, N. Dinh: A new closed cone constraint qualification for convex optimization, Applied Mathematics Research Report AMR04/6, University of New South Wales, submitted for publication.
    • Applied Mathematics Research Report , vol.AMR04-6
    • Jeyakumar, V.1    Lee, G.M.2    Dinh, N.3
  • 16
    • 0026867587 scopus 로고
    • Generalizations of Slater's constraint qualification for infinite convex programs
    • V. Jeyakumar, H. Wolkowicz: Generalizations of Slater's constraint qualification for infinite convex programs, Math. Progr. 57(1) (1992) 85-102.
    • (1992) Math. Progr. , vol.57 , Issue.1 , pp. 85-102
    • Jeyakumar, V.1    Wolkowicz, H.2
  • 17
    • 0037289378 scopus 로고    scopus 로고
    • Nonlinearly constrained best approximation in Hilbert spaces: The strong CHIP, and the basic constraint qualification
    • C. Li, X. Jin: Nonlinearly constrained best approximation in Hilbert spaces: The strong CHIP, and the basic constraint qualification, SIAM J. Optim. 13(1) (2002) 228-239.
    • (2002) SIAM J. Optim. , vol.13 , Issue.1 , pp. 228-239
    • Li, C.1    Jin, X.2
  • 18
    • 0242365790 scopus 로고    scopus 로고
    • Fenchel duality in infinite-dimensional setting and its applications
    • K.F. Ng, W. Song: Fenchel duality in infinite-dimensional setting and its applications, Nonlinear Anal. 25 (2003) 845-858.
    • (2003) Nonlinear Anal. , vol.25 , pp. 845-858
    • Ng, K.F.1    Song, W.2
  • 19
    • 0009618074 scopus 로고    scopus 로고
    • The operation of infimal convolution
    • T. Strömberg: The operation of infimal convolution, Diss. Math. 352 (1996) 1-61.
    • (1996) Diss. Math. , vol.352 , pp. 1-61
    • Strömberg, T.1
  • 20
    • 0031189752 scopus 로고    scopus 로고
    • Sequential convex subdifferential calculus and sequential Lagrange multipliers
    • L. Thibault: Sequential convex subdifferential calculus and sequential Lagrange multipliers, SIAM J. Control Optim. 35(4) (1997) 1434-1444.
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.4 , pp. 1434-1444
    • Thibault, L.1
  • 21
    • 0012696316 scopus 로고
    • A generalized sequential formula for subdifferentials of sums of convex functions defined on Banach spaces
    • Recent Developments in Optimization (Dijon, 1994), Springer, Berlin
    • L. Thibault: A generalized sequential formula for subdifferentials of sums of convex functions defined on Banach spaces, in: Recent Developments in Optimization (Dijon, 1994), Lecture Notes in Econom. and Math. Systems 429, Springer, Berlin (1995) 340-345.
    • (1995) Lecture Notes in Econom. and Math. Systems , vol.429 , pp. 340-345
    • Thibault, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.