-
1
-
-
0021375867
-
Lipschitz behavior of solutions to convex minimization problems
-
J.-P. AUBIN, Lipschitz behavior of solutions to convex minimization problems, Math. Oper. Res., 9 (1984), pp. 87-111.
-
(1984)
Math. Oper. Res.
, vol.9
, pp. 87-111
-
-
Aubin, J.-P.1
-
3
-
-
0022465886
-
Stability and regular points of inequality systems
-
J. M. BORWEIN, Stability and regular points of inequality systems, J. Optim. Theor. Appl., 48 (1986), pp. 9-52.
-
(1986)
J. Optim. Theor. Appl.
, vol.48
, pp. 9-52
-
-
Borwein, J.M.1
-
4
-
-
0002830755
-
Weak-star sequential compactness and bornological limit derivatives
-
J. M. BORWEIN AND S. P. FITZPATRICK, Weak-star sequential compactness and bornological limit derivatives, J. Convex Anal., 2 (1995), pp. 59-68.
-
(1995)
J. Convex Anal.
, vol.2
, pp. 59-68
-
-
Borwein, J.M.1
Fitzpatrick, S.P.2
-
6
-
-
0030242650
-
Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity
-
J. M, BORWEIN AND Q. J. ZHU, Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity, SIAM J. Control Optim., 34 (1996), pp. 1568-1591.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 1568-1591
-
-
Borwein, J.M.1
Zhu, Q.J.2
-
7
-
-
38249029456
-
Verifiable necessary and sufficient conditions for regularity of set-valued and single-valued maps
-
J. M. BORWEIN AND D. M. ZHUANG, Verifiable necessary and sufficient conditions for regularity of set-valued and single-valued maps, J. Math. Anal. Appl., 134 (1988), pp. 441-459.
-
(1988)
J. Math. Anal. Appl.
, vol.134
, pp. 441-459
-
-
Borwein, J.M.1
Zhuang, D.M.2
-
8
-
-
0026190240
-
An exact penalization viewpoint of constraint optimization
-
J. V. BURKE, An exact penalization viewpoint of constraint optimization, SIAM J. Control Optim., 29 (1991), pp. 968-998.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 968-998
-
-
Burke, J.V.1
-
10
-
-
0001303990
-
Metric regularity, tangent sets, and second order optimality conditions
-
R. COMINETTI, Metric regularity, tangent sets, and second order optimality conditions, Appl. Math. Optim., 21 (1990), pp. 265-287.
-
(1990)
Appl. Math. Optim.
, vol.21
, pp. 265-287
-
-
Cominetti, R.1
-
11
-
-
0000948820
-
Implicit functions, Lipschitz maps, and stability in optimization
-
A. L. DONTCHEV AND W. W. HAGER, Implicit functions, Lipschitz maps, and stability in optimization, Math. Oper. Res., 19 (1994), pp. 753-768.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 753-768
-
-
Dontchev, A.L.1
Hager, W.W.2
-
12
-
-
0002574218
-
Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss
-
M. FABIAN, Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss, Acta Univ. Carolin. Math. Phys., 30 (1989), pp. 51-56.
-
(1989)
Acta Univ. Carolin. Math. Phys.
, vol.30
, pp. 51-56
-
-
Fabian, M.1
-
13
-
-
0002365232
-
The maximum principle in optimal control of systems governed by semilinear equations
-
Nonlinear Analysis and Geometric Methods in Deterministic Optimal Control, B. S. Mordukhovich and H. J. Sussmann, eds., Springer-Verlag, New York
-
B. GINSBURG AND A. D. IOFFE, The maximum principle in optimal control of systems governed by semilinear equations, in Nonlinear Analysis and Geometric Methods in Deterministic Optimal Control, IMA Vol. Math. Appl. 78, B. S. Mordukhovich and H. J. Sussmann, eds., Springer-Verlag, New York, 1996, pp. 81-110.
-
(1996)
IMA Vol. Math. Appl.
, vol.78
, pp. 81-110
-
-
Ginsburg, B.1
Ioffe, A.D.2
-
14
-
-
84867959059
-
Regular points of Lipschitz mappings
-
A. D. IOFFE, Regular points of Lipschitz mappings, Trans. Amer. Math. Soc., 251 (1979), pp. 61-69.
-
(1979)
Trans. Amer. Math. Soc.
, vol.251
, pp. 61-69
-
-
Ioffe, A.D.1
-
15
-
-
0001413988
-
On the local surjection property
-
A. D. IOFFE, On the local surjection property, Nonlinear Anal., 11 (1987), pp. 565-592.
-
(1987)
Nonlinear Anal.
, vol.11
, pp. 565-592
-
-
Ioffe, A.D.1
-
16
-
-
84966259071
-
Approximate subdifferentials and applications, III: The metric theory
-
A. D. IOFFE, Approximate subdifferentials and applications, III: The metric theory, Mathematika, 36 (1989), pp. 1-38.
-
(1989)
Mathematika
, vol.36
, pp. 1-38
-
-
Ioffe, A.D.1
-
17
-
-
0000928277
-
Approximations and metric regularity in mathematical programming in Banach spaces
-
A. JOURANI AND L. THIBAULT, Approximations and metric regularity in mathematical programming in Banach spaces, Math. Oper. Res., 18 (1993), pp. 390-401.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 390-401
-
-
Jourani, A.1
Thibault, L.2
-
18
-
-
84966242235
-
Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces
-
A. JOURANI AND L. THIBAULT, Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces, Trans. Amer. Math. Soc., 347 (1995), pp. 1255-1268.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 1255-1268
-
-
Jourani, A.1
Thibault, L.2
-
19
-
-
34249843405
-
Sensitivity analysis for nonsmooth generalized equations
-
A. J. KING AND R. T. ROCKAFELLAR, Sensitivity analysis for nonsmooth generalized equations, Math. Programming, 55 (1992), pp. 193-212.
-
(1992)
Math. Programming
, vol.55
, pp. 193-212
-
-
King, A.J.1
Rockafellar, R.T.2
-
20
-
-
0010877032
-
A covering theorem for set-valued mappings
-
A. Y. KRUGER, A covering theorem for set-valued mappings, Optimization, 19 (1988), pp. 736-780.
-
(1988)
Optimization
, vol.19
, pp. 736-780
-
-
Kruger, A.Y.1
-
21
-
-
0000259921
-
Extremal points and the Euler equation in nonsmooth optimization
-
A. Y. KRUGER AND B. S. MORDUKHOVICH, Extremal points and the Euler equation in nonsmooth optimization, Dokl. Akad. Nauk BSSR, 24 (1980), pp. 684-687.
-
(1980)
Dokl. Akad. Nauk BSSR
, vol.24
, pp. 684-687
-
-
Kruger, A.Y.1
Mordukhovich, B.S.2
-
22
-
-
0001442538
-
Limits of Fréchet normals in nonsmooth analysis
-
Optimization and Nonlinear Analysis, A. D. IofFe et al., eds., Longman, Harlow, UK
-
P. D. LOEWEN, Limits of Fréchet normals in nonsmooth analysis, in Optimization and Nonlinear Analysis, Pitman Res. Notes Math. Ser. 244, A. D. IofFe et al., eds., Longman, Harlow, UK, 1992, pp. 178-188.
-
(1992)
Pitman Res. Notes Math. Ser. 244
, pp. 178-188
-
-
Loewen, P.D.1
-
23
-
-
0004186596
-
Optimal Control via Nonsmooth Analysis
-
American Mathematical Society, Providence, RI
-
P. D. LOEWEN, Optimal Control via Nonsmooth Analysis, CRM-AMS Lecture Notes in Mathematics, American Mathematical Society, Providence, RI, 1993.
-
(1993)
CRM-AMS Lecture Notes in Mathematics
-
-
Loewen, P.D.1
-
24
-
-
33646940121
-
Maximum principle in problems of time optimal control with nonsmooth constraints
-
B. S. MORDUKHOVICH, Maximum principle in problems of time optimal control with nonsmooth constraints, J. Appl. Math. Mech., 40 (1976), pp. 960-969.
-
(1976)
J. Appl. Math. Mech.
, vol.40
, pp. 960-969
-
-
Mordukhovich, B.S.1
-
26
-
-
84966250815
-
Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions
-
B. S. MORDUKHOVICH, Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions, Trans. Amer. Math. Soc., 340 (1993), pp. 1-35.
-
(1993)
Trans. Amer. Math. Soc.
, vol.340
, pp. 1-35
-
-
Mordukhovich, B.S.1
-
27
-
-
0001158218
-
Lipschitzian stability of constraint systems and generalized equations
-
B. S. MORDUKHOVICH, Lipschitzian stability of constraint systems and generalized equations, Nonlinear Anal., 22 (1994), pp. 173-206.
-
(1994)
Nonlinear Anal.
, vol.22
, pp. 173-206
-
-
Mordukhovich, B.S.1
-
28
-
-
0000551562
-
Generalized differential calculus for nonsmooth and set-valued mappings
-
B. S. MORDUKHOVICH, Generalized differential calculus for nonsmooth and set-valued mappings, J. Math. Anal. Appl., 183 (1994), pp. 250-288.
-
(1994)
J. Math. Anal. Appl.
, vol.183
, pp. 250-288
-
-
Mordukhovich, B.S.1
-
29
-
-
84966206068
-
Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis
-
B. S. MORDUKHOVICH, Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis, Trans. Amer. Math. Soc., 343 (1994), pp. 609-658.
-
(1994)
Trans. Amer. Math. Soc.
, vol.343
, pp. 609-658
-
-
Mordukhovich, B.S.1
-
30
-
-
0002236652
-
Sensitivity analysis for constraint and variational systems by means of set-valued differentiation
-
B. S. MORDUKHOVICH, Sensitivity analysis for constraint and variational systems by means of set-valued differentiation, Optimization, 31 (1994), pp. 13-46.
-
(1994)
Optimization
, vol.31
, pp. 13-46
-
-
Mordukhovich, B.S.1
-
31
-
-
0029307052
-
Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions
-
B. S. MORDUKHOVICH, Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions, SIAM J. Control Optim., 33 (1995), pp. 882-915.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 882-915
-
-
Mordukhovich, B.S.1
-
32
-
-
0001004205
-
Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
-
B. S. MORDUKHOVICH AND Y. SHAO, Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces, Nonlinear Anal., 24 (1995), pp. 1401-1424.
-
(1995)
Nonlinear Anal.
, vol.24
, pp. 1401-1424
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
33
-
-
0000644733
-
On nonconvex subdifferential calculus in Banach spaces
-
B. S. MORDUKHOVICH AND Y. SHAO, On nonconvex subdifferential calculus in Banach spaces, J. Convex Anal., 2 (1995), pp. 211-228.
-
(1995)
J. Convex Anal.
, vol.2
, pp. 211-228
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
34
-
-
0001657279
-
Extremal characterizations of Asplund spaces
-
B. S. MORDUKHOVICH AND Y. SHAO, Extremal characterizations of Asplund spaces, Proc. Amer. Math. Soc., 124 (1996), pp. 197-205.
-
(1996)
Proc. Amer. Math. Soc.
, vol.124
, pp. 197-205
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
35
-
-
27244452009
-
Nonsmooth sequential analysis in Asplund spaces
-
B. S. MORDUKHOVICH AND Y. SHAO, Nonsmooth sequential analysis in Asplund spaces, Trans. Amer. Math. Soc., 348 (1996), pp. 1235-1280.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, pp. 1235-1280
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
36
-
-
0000108034
-
Generalized differential calculus for infinite dimensional multifunctions
-
B. S. MORDUKHOVICH AND Y. SHAO, Generalized differential calculus for infinite dimensional multifunctions, Set-Valued Anal., 4 (1996), pp. 205-236.
-
(1996)
Set-Valued Anal.
, vol.4
, pp. 205-236
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
37
-
-
38249025950
-
Metric regularity, openness, and Lipschitzian behavior of multifunctions
-
J.-P. PENOT, Metric regularity, openness, and Lipschitzian behavior of multifunctions, Nonlinear Anal., 13 (1989), pp. 629-643.
-
(1989)
Nonlinear Anal.
, vol.13
, pp. 629-643
-
-
Penot, J.-P.1
-
38
-
-
0039476707
-
Inverse functions theorems for mappings and multimappings
-
J.-P. PENOT, Inverse functions theorems for mappings and multimappings, SEA Bull. Math., 19 (1995), pp. 1-16.
-
(1995)
SEA Bull. Math.
, vol.19
, pp. 1-16
-
-
Penot, J.-P.1
-
39
-
-
0003466110
-
-
Lecture Notes in Math. 1364, Springer-Verlag, Berlin
-
R. R. PHELPS, Convex Functions, Monotone Operators and Differentiability, 2nd ed., Lecture Notes in Math. 1364, Springer-Verlag, Berlin, 1993.
-
(1993)
Convex Functions, Monotone Operators and Differentiability, 2nd Ed.
-
-
Phelps, R.R.1
-
40
-
-
0016993914
-
Stability theory for systems of inequalities, part II: Differentiable nonlinear systems
-
S. M. ROBINSON, Stability theory for systems of inequalities, part II: Differentiable nonlinear systems, SIAM J. Numer. Anal., 13 (1976), pp. 497-513.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 497-513
-
-
Robinson, S.M.1
-
41
-
-
0000056025
-
Generalized equations and their solutions, part I: Basic theory
-
S. M. ROBINSON, Generalized equations and their solutions, part I: Basic theory, Math. Programming Stud., 10 (1979), pp. 128-141.
-
(1979)
Math. Programming Stud.
, vol.10
, pp. 128-141
-
-
Robinson, S.M.1
-
42
-
-
0000676135
-
Lipschitzian properties of multifunctions
-
R. T. ROCKAFELLAR, Lipschitzian properties of multifunctions, Nonlinear Anal., 9 (1985), pp. 867-885.
-
(1985)
Nonlinear Anal.
, vol.9
, pp. 867-885
-
-
Rockafellar, R.T.1
-
43
-
-
0002954653
-
Subdifferentials of compactly Lipschitzian vector-valued functions
-
L. THIBAULT, Subdifferentials of compactly Lipschitzian vector-valued functions, Ann. Mat. Pura Appl. (4), 125 (1980), pp. 157-192.
-
(1980)
Ann. Mat. Pura Appl. (4)
, vol.125
, pp. 157-192
-
-
Thibault, L.1
-
44
-
-
0026222116
-
On Subdifferentials of optimal value functions
-
L. THIBAULT, On Subdifferentials of optimal value functions, SIAM J. Control Optim., 29 (1991), pp. 1019-1036.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 1019-1036
-
-
Thibault, L.1
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