-
1
-
-
0141804105
-
Asymptotic Cones and functions in Optimization and Variational Inequalities
-
Springer-Verlag, New York
-
A. Auslender and M. Teboulle, Asymptotic Cones and Functions in Optimization and Variational Inequalities, Springer Monogr. Math. 12, Springer-Verlag, New York, 2003.
-
(2003)
Springer Monogr Math. 12
-
-
Auslender, A.1
Teboulle, M.2
-
2
-
-
0003444607
-
-
revised edition, translated from the Romanian. Editura Academiei, Bucharest; Sijthoff and Noordhoff, Gronigen, The Netherlands
-
V. Barbu and T. Precupanu, Convexity and Optimization in Banach Spaces, revised edition, translated from the Romanian. Editura Academiei, Bucharest; Sijthoff and Noordhoff, Gronigen, The Netherlands, 1978.
-
(1978)
Convexity and Optimization in Banach Spaces
-
-
Barbu, V.1
Precupanu, T.2
-
3
-
-
39749146468
-
Sequential optimality conditions in convex programming via perturbation approach
-
R. I. Boy, E. R. Csetnek, and G. Wanka, Sequential optimality conditions in convex programming via perturbation approach, J. Convex Anal., 15 (2008), pp. 149-164.
-
(2008)
J. Convex. Anal.
, vol.15
, pp. 149-164
-
-
Boy, R.I.1
Csetnek, E.R.2
Wanka, G.3
-
4
-
-
69649099853
-
-
Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany, Preprint 16/2007
-
R. I. Box, S. M. Grad, and G. Wanka, Generalized Moreau-Rockafellar Results for Composed Convex Functions, preprint 16/2007, Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany, 2007.
-
(2007)
Generalized Moreau-Rockafellar Results for Composed Convex Functions
-
-
Box, R.I.1
Grad, S.M.2
Wanka, G.3
-
5
-
-
33645961296
-
A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces
-
R. I. Boţ and G. Wanka, A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces, Nonlinear Anal., 64 (2006), pp. 2787-2804.
-
(2006)
Nonlinear Anal.
, vol.64
, pp. 2787-2804
-
-
Boţ, R.I.1
Wanka, G.2
-
6
-
-
40649120911
-
Sequential optimality conditions for composed convex optimization problems
-
R. I. Boţ, E. R. Csetnek, and G. Wanka, Sequential optimality conditions for composed convex optimization problems, J. Math. Anal. Appl., 342 (2008), pp. 1015-1025.
-
(2008)
J. Math. Anal. Appl.
, vol.342
, pp. 1015-1025
-
-
Boţ, R.I.1
Csetnek, E.R.2
Wanka, G.3
-
7
-
-
0030246542
-
On projection algorithms for solving convex feasibility problems
-
H. H. Bauschke and J. M. Borwein, On projection algorithms for solving convex feasibility problems, SIAM Rev., 38 (1996), pp. 367-426.
-
(1996)
SIAM. Rev.
, vol.38
, pp. 367-426
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
8
-
-
0003713964
-
-
2nd ed., Athena Scientific, Belmont, MA
-
D. P. Bertsekas, Nonlinear Programming, 2nd ed., Athena Scientific, Belmont, MA, 1999.
-
(1999)
Nonlinear Programming
-
-
Bertsekas, D.P.1
-
9
-
-
27244447811
-
A new geometric condition for Fenchel's duality in infinite dimensional spaces
-
R. S. Burachik and V. Jeyakumar, A new geometric condition for Fenchel's duality in infinite dimensional spaces, Math. Program. Ser. B, 104 (2005), pp. 229-233.
-
(2005)
Math. Program. Ser. B.
, vol.104
, pp. 229-233
-
-
Burachik, R.S.1
Jeyakumar, V.2
-
10
-
-
23744457391
-
A dual condition for the convex subdifferential sum formula with Applications
-
R. S. Burachik and V. Jeyakumar, A dual condition for the convex subdifferential sum formula with applications, J. Convex Anal., 12 (2005), pp. 279-290.
-
(2005)
J. Convex. Anal.
, vol.12
, pp. 279-290
-
-
Burachik, R.S.1
Jeyakumar, V.2
-
11
-
-
33644528747
-
Necessary and sufficient conditions for stable conjugate duality
-
R. S. Burachik, V. Jeyakumar, and Z. Y. Wu, Necessary and sufficient conditions for stable conjugate duality, Nonlinear Anal., 64 (2006), pp. 1998-2006.
-
(2006)
Nonlinear Anal.
, vol.64
, pp. 1998-2006
-
-
Burachik, R.S.1
Jeyakumar, V.2
Wu, Z.Y.3
-
12
-
-
0030303841
-
A unified analysis of Hoffman's bound via Fenchel duality
-
J. V. Burke and P. Tseng, A unified analysis of Hoffman's bound via Fenchel duality, SIAM J. Optim., 6 (1996), pp. 265-282.
-
(1996)
SIAM. J. Optim.
, vol.6
, pp. 265-282
-
-
Burke, J.V.1
Tseng, P.2
-
14
-
-
8644260616
-
Best Approximation in Inner Product Spaces
-
Springer-Verlag, New York
-
F. R. Deutsch, Best Approximation in Inner Product Spaces, CMS Books Math., 7, Springer-Verlag, New York, 2001.
-
(2001)
CMS. Books Math.
, vol.7
-
-
Deutsch, F.R.1
-
15
-
-
0003244186
-
Convex Analysis and Variational Problems
-
North-Holland, Amsterdam-Oxford, 1976 in French ; American Elsevier, New York
-
I. Ekeland and R. Temam, Convex Analysis and Variational Problems, Stud. Math. Appl. 1, North-Holland, Amsterdam-Oxford, 1976 (in French) ; American Elsevier, New York, 1976.
-
(1976)
Stud. Math. Appl. 1
-
-
Ekeland, I.1
Temam, R.2
-
16
-
-
0004090913
-
-
Mimeographed notes, Princeton University, Princeton, NJ
-
W. Fenchel, Convex Cones, Sets and Functions, Mimeographed notes, Princeton University, Princeton, NJ, 1951.
-
(1951)
Convex. Cones, Sets and Functions
-
-
Fenchel, W.1
-
18
-
-
0000202885
-
Subdifferential calculus using ε-subdifferentials
-
J. B. Hiriart-Urruty and R. R. Phelps, Subdifferential calculus using ε-subdifferentials, J. Funct. Anal., 118 (1993), pp. 154-166.
-
(1993)
J. Funct. Anal.
, vol.118
, pp. 154-166
-
-
Hiriart-Urruty, J.B.1
Phelps, R.R.2
-
19
-
-
2442552101
-
New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs
-
V. Jeyakumar, G. M. Lee, and N. Dinh, New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs, SIAM J. Optim., 14 (2003), pp. 534-547.
-
(2003)
SIAM. J. Optim.
, vol.14
, pp. 534-547
-
-
Jeyakumar, V.1
Lee, G.M.2
Dinh, N.3
-
20
-
-
44649108980
-
The SECQ, linear regularity, and the strong CHIP for an infinite system of closed convex sets in normed linear spaces
-
C. Li, K. F. Ng, and T. K. Pong, The SECQ, linear regularity, and the strong CHIP for an infinite system of closed convex sets in normed linear spaces, SIAM J, Optim., 18 (2007), pp. 643-665.
-
(2007)
SIAM. J, Optim.
, vol.18
, pp. 643-665
-
-
Li, C.1
Ng, K.F.2
Pong, T.K.3
-
21
-
-
33846685095
-
Semi-infinite programming
-
M. López and G. Still, Semi-infinite programming, European J. Oper. Res., 180 (2007), pp. 491-518.
-
(2007)
European J. Oper. Res.
, vol.180
, pp. 491-518
-
-
López, M.1
Still, G.2
-
22
-
-
0041356704
-
Fonctions convexes duales et points proximaux dans un espace hilbertien
-
French
-
J. J. Moreau, Fonctions convexes duales et points proximaux dans un espace hilbertien, C. R. Math. Acad. Sci. Paris, 255 (1962), pp. 2897-2899 (in French).
-
(1962)
C. R. Math. Acad. Sci. Paris
, vol.255
, pp. 2897-2899
-
-
Moreau, J.J.1
-
23
-
-
0242365790
-
Fenchel duality in infinite-dimensional setting and its Applications
-
K. F. Ng and W. Song, Fenchel duality in infinite-dimensional setting and its applications, Nonlinear Anal., 25 (2003), pp. 845-858.
-
(2003)
Nonlinear Anal.
, vol.25
, pp. 845-858
-
-
Ng, K.F.1
Song, W.2
-
24
-
-
0003466110
-
-
Lecture Notes in Math. 1364, Springer-Verlag, Berlin
-
R. R. Phelps, Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Math. 1364, Springer-Verlag, Berlin, 1993.
-
(1993)
Convex. Functions, Monotone Operators and Differentiability
-
-
Phelps, R.R.1
-
25
-
-
24944580357
-
Fenchel duality, Fitzpatrick functions and the Kirszbraun-Valentine extension theorem
-
S. Reich and S. Simons, Fenchel duality, Fitzpatrick functions and the Kirszbraun-Valentine extension theorem, Proc. Amer. Math. Soc, 133 (2005), pp. 2657-2660.
-
(2005)
Proc. Amer. Math. Soc.
, vol.133
, pp. 2657-2660
-
-
Reich, S.1
Simons, S.2
-
27
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex. Analysis
-
-
Rockafellar, R.T.1
-
28
-
-
84972539430
-
Extension of Fenchel's duality theorem for convex functions
-
R. T. Rockafellar, Extension of Fenchel's duality theorem for convex functions, Duke Math. J., 33 (1966), pp. 81-89.
-
(1966)
Duke. Math. J.
, vol.33
, pp. 81-89
-
-
Rockafellar, R.T.1
-
29
-
-
69649089541
-
-
reprint of the 6th 1980 ed., Classics Math., Springer-Verlag, Berlin
-
K. Yosida, Functional Analysis, reprint of the 6th (1980) ed., Classics Math., Springer-Verlag, Berlin, 1995.
-
(1995)
Functional Analysis
-
-
Yosida, K.1
-
30
-
-
69649095836
-
Convex Analysis in General Vector Spaces, World Scientific
-
C. Zalinescu, Convex Analysis in General Vector Spaces, World Scientific, River Edge, NJ, 2002.
-
(2002)
River Edge, NJ.
-
-
Zalinescu, C.1
-
31
-
-
4043112660
-
Error bound moduli for conic convex systems on Banach spaces
-
X. Y. Zheng and K. F. Ng, Error bound moduli for conic convex systems on Banach spaces, Math. Oper. Res., 29 (2004), pp. 213-228.
-
(2004)
Math. Oper. Res.
, vol.29
, pp. 213-228
-
-
Zheng, X.Y.1
Ng, K.F.2
-
32
-
-
4043110663
-
Metric regularity and constraint qualifications for convex inequalities on Banach spaces
-
X. Y. Zheng and K. F. Ng, Metric regularity and constraint qualifications for convex inequalities on Banach spaces, SIAM J. Optim., 14 (2004), pp. 757-772.
-
(2004)
SIAM. J. Optim.
, vol.14
, pp. 757-772
-
-
Zheng, X.Y.1
Ng, K.F.2
|