-
1
-
-
0003086078
-
Contingent derivatives of set-valued maps and existence of solutions in nonlinear inclusions and differential inclusions
-
[A], Supplementary Studies 7A, L. Nachbin, ed., Academic Press, New York
-
[A] J.P. AUBIN, Contingent derivatives of set-valued maps and existence of solutions in nonlinear inclusions and differential inclusions, in Advances in Mathematics, Supplementary Studies 7A, L. Nachbin, ed., Academic Press, New York, 1981, pp. 160-232.
-
(1981)
Advances in Mathematics
, pp. 160-232
-
-
Aubin, J.P.1
-
3
-
-
0003453924
-
-
[AF], Birkhäuser Boston, Basel, Berlin
-
[AF] J.P. AUBIN AND H. FRANKOWSKA, Set-Valued Analysis, Birkhäuser Boston, Basel, Berlin, 1990.
-
(1990)
Set-valued Analysis
-
-
Aubin, J.P.1
Frankowska, H.2
-
4
-
-
0030507288
-
What is the subdifferential of the closed convex hull of a function?
-
[BHU]
-
[BHU] J. BENOIST AND J.-B. HIRIART-URRUTY, What is the subdifferential of the closed convex hull of a function?, SIAM J. Math. Anal., 27 (1996), pp. 1661-1679.
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 1661-1679
-
-
Benoist, J.1
Hiriart-Urruty, J.-B.2
-
5
-
-
0031485141
-
Vector equilibrium problems with monotone bifunctions
-
[BHS]
-
[BHS] M. BIANCHI, N. HADJISAWAS, AND S. SCHAIBLE, Vector equilibrium problems with monotone bifunctions, J. Optim. Theory Appl., 92 (1997), pp. 527-542.
-
(1997)
J. Optim. Theory Appl.
, vol.92
, pp. 527-542
-
-
Bianchi, M.1
Hadjisawas, N.2
Schaible, S.3
-
6
-
-
0022197203
-
Directional derivatives in nonsmooth optimization
-
[BZ]
-
[BZ] A. BEN-TAL AND J. ZOWE, Directional derivatives in nonsmooth optimization, J. Optim. Theory Appl., 47 (1985), pp. 483-490.
-
(1985)
J. Optim. Theory Appl.
, vol.47
, pp. 483-490
-
-
Ben-Tal, A.1
Zowe, J.2
-
7
-
-
0012860804
-
A Lagrange multiplier theorem and a sandwich theorem for convex relation
-
[Bo]
-
[Bo] J.M. BORWEIN, A Lagrange multiplier theorem and a sandwich theorem for convex relation, Math. Scand., 48 (1981), pp. 189-204.
-
(1981)
Math. Scand.
, vol.48
, pp. 189-204
-
-
Borwein, J.M.1
-
8
-
-
0000596189
-
Optimization and Nonsmooth Analysis
-
[Cl], SIAM, Philadelphia
-
[Cl] F.H. CLARKE, Optimization and Nonsmooth Analysis, Classics Appl. Math. 5, SIAM, Philadelphia, 1990.
-
(1990)
Classics Appl. Math.
, vol.5
-
-
Clarke, F.H.1
-
9
-
-
0002719860
-
A vector variational inequality and optimization over an efficient set
-
[CC1]
-
[CC1] G.Y. CHEN AND B.D. CRAVEN, A vector variational inequality and optimization over an efficient set, ZOR - Math. Methods Oper. Res., 34 (1990), pp. 1-12.
-
(1990)
ZOR - Math. Methods Oper. Res.
, vol.34
, pp. 1-12
-
-
Chen, G.Y.1
Craven, B.D.2
-
10
-
-
0028447321
-
Existence and continuity of solutions for vector optimization
-
[CC2]
-
[CC2] G.Y. CHEN AND B.D. CRAVEN, Existence and continuity of solutions for vector optimization, J. Optim. Theory Appl., 81 (1994), pp. 459-468.
-
(1994)
J. Optim. Theory Appl.
, vol.81
, pp. 459-468
-
-
Chen, G.Y.1
Craven, B.D.2
-
11
-
-
0000061469
-
Optimality conditions for set-valued optimization
-
[CJ]
-
[CJ] G.Y. CHEN AND J. JAHN, Optimality conditions for set-valued optimization, Math. Methods Oper. Res., 48 (1998), pp. 187-200.
-
(1998)
Math. Methods Oper. Res.
, vol.48
, pp. 187-200
-
-
Chen, G.Y.1
Jahn, J.2
-
12
-
-
0024035435
-
Optimality conditions for maximizations of set-valued functions
-
[C]
-
[C] H.W. CORLEY, Optimality conditions for maximizations of set-valued functions, J. Optim. Theory Appl., 58 (1988), pp. 1-10.
-
(1988)
J. Optim. Theory Appl.
, vol.58
, pp. 1-10
-
-
Corley, H.W.1
-
13
-
-
0032331240
-
Characterizations of the nonemptiness and compactness of solutions sets in convex vector optimization
-
[D]
-
[D] S. DENG, Characterizations of the nonemptiness and compactness of solutions sets in convex vector optimization, J. Optim. Theory Appl., 96 (1998), pp. 123-131.
-
(1998)
J. Optim. Theory Appl.
, vol.96
, pp. 123-131
-
-
Deng, S.1
-
14
-
-
0007071779
-
Cône asymptote d'un ensemble non convexe, application à l'optimization
-
[D1]
-
[D1] J.-P. DEDIEU, Cône asymptote d'un ensemble non convexe, application à l'optimization, C. R. Acad. Sci. Paris Sér. A-B, 285 (1977), pp. 501-503.
-
(1977)
C. R. Acad. Sci. Paris Sér. A-B
, vol.285
, pp. 501-503
-
-
Dedieu, J.-P.1
-
15
-
-
0042304675
-
Cônes asymptotes d'ensembles non convexes
-
[D2]
-
[D2] J.-P. DEDIEU, Cônes asymptotes d'ensembles non convexes, Bull. Soc. Math. France Mém., 60 (1979), pp. 31-44.
-
(1979)
Bull. Soc. Math. France Mém.
, vol.60
, pp. 31-44
-
-
Dedieu, J.-P.1
-
16
-
-
0012792052
-
Minimax type theorems for n-valued functions
-
[Fe]
-
[Fe] F. FERRO, Minimax type theorems for n-valued functions, Ann. Mat. Pura Appl., 32 (1982), pp. 113-130.
-
(1982)
Ann. Mat. Pura Appl.
, vol.32
, pp. 113-130
-
-
Ferro, F.1
-
17
-
-
0035238863
-
Existence theorems for generalized noncoercive equilibrium problems: The quasi-convex case
-
[F1]
-
[F1] F. FLORES-BAZÁN, Existence theorems for generalized noncoercive equilibrium problems: The quasi-convex case, SIAM J. Optim., 11 (2000), pp. 675-690.
-
(2000)
SIAM J. Optim.
, vol.11
, pp. 675-690
-
-
Flores-Bazán, F.1
-
18
-
-
0042827635
-
Ideal, weakly efficient solutions for vector optimization problems
-
[F2]
-
[F2] F. FLORES-BAZÁN, Ideal, weakly efficient solutions for vector optimization problems, Math. Program., 93 (2002), pp. 453-475.
-
(2002)
Math. Program.
, vol.93
, pp. 453-475
-
-
Flores-Bazán, F.1
-
19
-
-
0034905140
-
Optimality conditions in non-convex set-valued optimization
-
[F3]
-
[F3] F. FLORES-BAZÁN, Optimality conditions in non-convex set-valued optimization, Math. Methods Oper. Res., 53 (2001), pp. 403-417.
-
(2001)
Math. Methods Oper. Res.
, vol.53
, pp. 403-417
-
-
Flores-Bazán, F.1
-
20
-
-
26544459302
-
-
[F4], preprint DIM 2003-03, Universidad de Concepción, Octava Región, Chile
-
[F4] F. FLORES-BAZÁN, Semi-strictly quasi-convex vector functions and nonconvex vector optimization, preprint DIM 2003-03, Universidad de Concepción, Octava Región, Chile, 2003.
-
(2003)
Semi-strictly Quasi-convex Vector Functions and Nonconvex Vector Optimization
-
-
Flores-Bazán, F.1
-
21
-
-
84867934050
-
Vector equilibrium problems under asymptotic analysis
-
[FF]
-
[FF] F. FLORES-BAZÁN AND F. FLORES-BAZÁN, Vector equilibrium problems under asymptotic analysis, J. Global Optim., 26 (2003), pp. 141-166.
-
(2003)
J. Global Optim.
, vol.26
, pp. 141-166
-
-
Flores-Bazán, F.1
Flores-Bazán, F.2
-
22
-
-
0035534787
-
Simplified optimality conditions for minimizing a difference of vector-valued functions
-
[FO]
-
[FO] F. FLORES-BAZÁN AND W. OETTLI, Simplified optimality conditions for minimizing a difference of vector-valued functions, J. Optim. Theory Appl., 108 (2001), pp. 571-586.
-
(2001)
J. Optim. Theory Appl.
, vol.108
, pp. 571-586
-
-
Flores-Bazán, F.1
Oettli, W.2
-
23
-
-
17444448069
-
The Lagrange multiplier rule in set-valued optimization
-
[GJ]
-
[GJ] A. GÖTZ AND J. JAHN, The Lagrange multiplier rule in set-valued optimization, SIAM J. Optim., 10 (1999), pp. 331-344.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 331-344
-
-
Götz, A.1
Jahn, J.2
-
24
-
-
0002171449
-
On optimality conditions in nondifferentiable programming
-
[HU1]
-
[HU1] J.B. HIRIART-URRUTY, On optimality conditions in nondifferentiable programming, Math. Programming, 14 (1978), pp. 73-86.
-
(1978)
Math. Programming
, vol.14
, pp. 73-86
-
-
Hiriart-Urruty, J.B.1
-
25
-
-
0018430539
-
Tangent cones, generalized gradients and mathematical programming in Banach spaces
-
[HU2]
-
[HU2] J.B. HIRIART-URRUTY, Tangent cones, generalized gradients and mathematical programming in Banach spaces, Math. Oper. Res., 4 (1979), pp. 79-97.
-
(1979)
Math. Oper. Res.
, vol.4
, pp. 79-97
-
-
Hiriart-Urruty, J.B.1
-
27
-
-
0031383054
-
Contingent epiderivatives and set-valued optimization
-
[JR]
-
[JR] J. JAHN AND R. RAUH, Contingent epiderivatives and set-valued optimization, Math. Methods Oper. Res., 46 (1997), pp. 193-211.
-
(1997)
Math. Methods Oper. Res.
, vol.46
, pp. 193-211
-
-
Jahn, J.1
Rauh, R.2
-
28
-
-
0003199356
-
Theory of Vector Optimization
-
[L1], Springer-Verlag, New York, Berlin
-
[L1] D.T. LUC, Theory of Vector Optimization, Lecture Notes in Econom. and Math. Systems 319, Springer-Verlag, New York, Berlin, 1989.
-
(1989)
Lecture Notes in Econom. and Math. Systems
, vol.319
-
-
Luc, D.T.1
-
29
-
-
0026117768
-
Contingent derivatives of set-valued maps and applications to vector optimization
-
[L2]
-
[L2] D.T. Luc, Contingent derivatives of set-valued maps and applications to vector optimization, Math. Programming, 50 (1991), pp. 99-111.
-
(1991)
Math. Programming
, vol.50
, pp. 99-111
-
-
Luc, D.T.1
-
30
-
-
0001610659
-
A remark on vector-valued equilibria and generalized monotonicity
-
[O]
-
[O] W. OETTLI, A remark on vector-valued equilibria and generalized monotonicity, Acta Math. Vietnamica, 22 (1997), pp. 213-221.
-
(1997)
Acta Math. Vietnamica
, vol.22
, pp. 213-221
-
-
Oettli, W.1
-
31
-
-
0004446272
-
Sous-différentiels de fonctions numériques non convexes
-
[P1]
-
[P1] J.-P. PENOT, Sous-différentiels de fonctions numériques non convexes, C. R. Acad. Sci. Paris Sér. A, 278 (1974), pp. 1553-1555.
-
(1974)
C. R. Acad. Sci. Paris Sér. A
, vol.278
, pp. 1553-1555
-
-
Penot, J.-P.1
-
32
-
-
0000702214
-
Calcul sous-différentiel et optimisation
-
[P2]
-
[P2] J.-P. PENOT, Calcul sous-différentiel et optimisation, J. Funct. Anal., 27 (1978), pp. 248-276.
-
(1978)
J. Funct. Anal.
, vol.27
, pp. 248-276
-
-
Penot, J.-P.1
-
33
-
-
0021466350
-
Differentiability of relations and differential stability of perturbed optimization problems
-
[P3]
-
[P3] J.-P. PENOT, Differentiability of relations and differential stability of perturbed optimization problems, SIAM J. Control Optim., 22 (1984), pp. 529-551.
-
(1984)
SIAM J. Control Optim.
, vol.22
, pp. 529-551
-
-
Penot, J.-P.1
-
34
-
-
1542337132
-
Polarité des applications convexes à valeurs vectorielles
-
[PT]
-
[PT] J.-P. PENOT AND M. THERA, Polarité des applications convexes à valeurs vectorielles, C. R. Acad. Sci. Paris Ser. A-B, 288 (1979), pp. 419-422.
-
(1979)
C. R. Acad. Sci. Paris Ser. A-B
, vol.288
, pp. 419-422
-
-
Penot, J.-P.1
Thera, M.2
-
35
-
-
0031998275
-
Set-valued derivatives of multifunction and optimality conditions
-
[T]
-
[T] A. TAA, Set-valued derivatives of multifunction and optimality conditions, Numer. Funct. Anal. Optim., 19 (1998), pp. 121-140.
-
(1998)
Numer. Funct. Anal. Optim.
, vol.19
, pp. 121-140
-
-
Taa, A.1
-
36
-
-
1542366812
-
Epidifférentiels de fonctions vectorielles
-
[Th1]
-
[Th1] L. THIBAULT, Epidifférentiels de fonctions vectorielles, C. R. Acad. Sér. Paris Sér. A-B, 290 (1980), pp. 87-90.
-
(1980)
C. R. Acad. Sér. Paris Sér. A-B
, vol.290
, pp. 87-90
-
-
Thibault, L.1
-
37
-
-
0000505151
-
On generalized differentials and subdifferentials of Lipschitz vector-valued functions
-
[Th2]
-
[Th2] L. THIBAULT, On generalized differentials and subdifferentials of Lipschitz vector-valued functions, Nonlinear Anal., 6 (1982), pp. 1037-1053.
-
(1982)
Nonlinear Anal.
, vol.6
, pp. 1037-1053
-
-
Thibault, L.1
-
38
-
-
0039166140
-
Subdifferentials of non-convex vector-valued functions
-
[Th3]
-
[Th3] L. THIBAULT, Subdifferentials of non-convex vector-valued functions, J. Math. Anal. Appl., 86 (1982), pp. 319-344.
-
(1982)
J. Math. Anal. Appl.
, vol.86
, pp. 319-344
-
-
Thibault, L.1
-
39
-
-
0039166156
-
Sous-différential de fonctions convexes à valeurs dans un espace vectoriel ordonné
-
[V]
-
[V] M. VALADIER, Sous-différential de fonctions convexes à valeurs dans un espace vectoriel ordonné, Math. Scand., 30 (1972), pp. 65-72.
-
(1972)
Math. Scand.
, vol.30
, pp. 65-72
-
-
Valadier, M.1
-
40
-
-
0002926785
-
A Hahn-Banach theorem in ordered linear spaces and its applications
-
[Y1]
-
[Y1] X.Q. YANG, A Hahn-Banach theorem in ordered linear spaces and its applications, Optimization, 25 (1992), pp. 1-9.
-
(1992)
Optimization
, vol.25
, pp. 1-9
-
-
Yang, X.Q.1
-
41
-
-
0032295473
-
Directional derivatives for set-valued mappings and applications
-
[Y2]
-
[Y2] X.Q. YANG, Directional derivatives for set-valued mappings and applications, Math. Methods Oper. Res., 48 (1998), pp. 273-285.
-
(1998)
Math. Methods Oper. Res.
, vol.48
, pp. 273-285
-
-
Yang, X.Q.1
-
42
-
-
0039758676
-
Subdifferentiability of convex functions with values in ordered vector spaces
-
[Z]
-
[Z] J. ZOWE, Subdifferentiability of convex functions with values in ordered vector spaces, Math. Scand., 34 (1974), pp. 69-83.
-
(1974)
Math. Scand.
, vol.34
, pp. 69-83
-
-
Zowe, J.1
|