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Ioffe, Alexander Davidovich

Author ID: ioffe.alexander-d Recent zbMATH articles by "Ioffe, Alexander Davidovich"
Published as: Ioffe, A. D.; Ioffe, Alexander D.; Ioffe, Alexander; Ioffe, A.; Ioffe, Alexandre D.; Ioffe, Aleksandr D.; Joffe, Alexander D.; Joffe, A. D.
Further Spellings: Иоффе Александр Давидович
Homepage: http://www2.math.technion.ac.il/~ioffe/
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
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Serials

11 SIAM Journal on Control and Optimization
10 Journal of Convex Analysis
8 Mathematical Programming. Series A. Series B
6 Control and Cybernetics
6 Soviet Mathematics. Doklady
6 Transactions of the American Mathematical Society
5 Proceedings of the American Mathematical Society
5 SIAM Journal on Optimization
4 Mathematics of Operations Research
4 Comptes Rendus de l’Académie des Sciences. Série I
4 Set-Valued Analysis
4 Journal of Fixed Point Theory and Applications
4 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Mathematical Analysis and Applications
3 Russian Mathematical Surveys
3 Calculus of Variations and Partial Differential Equations
3 Annals of Mathematical Statistics
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Differentsial’nye Uravneniya
2 Differential Equations
2 Journal of Applied Probability
2 Journal of Optimization Theory and Applications
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the Moscow Mathematical Society
2 Trudy Moskovskogo Matematicheskogo Obshchestva
2 Optimization
2 Journal of the Australian Mathematical Society
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Chapman & Hall/CRC Research Notes in Mathematics
2 Set-Valued and Variational Analysis
2 Optimizatsiya
2 Advances in Nonlinear Analysis
1 Advances in Applied Probability
1 Mathematical Notes
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 The Annals of Probability
1 Fundamenta Mathematicae
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika
1 Journal of the London Mathematical Society. Second Series
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Applied Mathematics Letters
1 The Annals of Applied Probability
1 Doklady Bolgarskoĭ Akademii Nauk
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Mathematics of the USSR, Sbornik
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Bulletin of the American Mathematical Society. New Series
1 Cybernetics and Systems Analysis
1 Journal of Mathematical Sciences (New York)
1 Top
1 Serdica Mathematical Journal
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Foundations of Computational Mathematics
1 International Journal of Pure and Applied Mathematics
1 Pacific Journal of Optimization
1 Bulletin of the American Mathematical Society
1 Pitman Research Notes in Mathematics Series
1 Studies in Mathematics and its Applications
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

150 Publications have been cited 3,361 times in 2,121 Documents Cited by Year
Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051
Ioffe, A. D.; Tihomirov, V. M.
512
1979
Metric regularity and subdifferential calculus. Zbl 0979.49017
Ioffe, A. D.
227
2000
Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001
Ioffe, Alexander D.
142
2017
Weak convergence of sequences of semimartingales with applications to multitype branching processes. Zbl 0595.60008
Joffe, A.; Métivier, M.
110
1986
On lower semicontinuity of integral functionals. I. Zbl 0361.46037
Ioffe, A. D.
109
1977
Nonsmooth analysis: differential calculus of nondifferentiable mappings. Zbl 0651.58007
Ioffe, A. D.
102
1981
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
100
2008
Approximate subdifferentials and applications. I: The finite dimensional theory. Zbl 0531.49014
Ioffe, A. D.
100
1984
Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022
Ioffe, A. D.
97
1989
Regular points of Lipschitz functions. Zbl 0427.58008
Ioffe, Alexander D.
92
1979
Necessary and sufficient conditions for a local minimum. 1: A reduction theorem and first order conditions. Zbl 0417.49027
Ioffe, A. D.
83
1979
Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality. Zbl 0417.49029
Ioffe, A. D.
83
1979
Proximal analysis and approximate subdifferentials. Zbl 0725.46045
Ioffe, A. D.
72
1990
Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps. Zbl 0542.46023
Ioffe, A. D.
65
1984
Duality of convex functions and extremum problems. Zbl 0191.13101
Ioffe, A. D.; Tikhomirov, V. M.
63
1968
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
55
2015
Approximate subdifferentials and applications. II. Zbl 0601.49008
Ioffe, A. D.
54
1986
Extension of variational problems. Zbl 0194.13902
Ioffe, A. D.; Tikhomirov, V. M.
51
1968
Subdifferentials of convex functions. Zbl 0281.46039
Ioffe, A. D.; Levin, V. L.
47
1974
An invitation to tame optimization. Zbl 1182.90083
Ioffe, A. D.
46
2009
On the local surjection property. Zbl 0642.49010
Ioffe, A. D.
43
1987
Metric regularity – a survey. I: Theory. Zbl 1369.49001
Ioffe, A. D.
42
2016
Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018
Ioffe, A.; Schwartzman, E.
37
1996
On a set of almost deterministic k-independent random variables. Zbl 0276.60005
Joffe, A.
36
1974
On multitype branching processes with \(\rho\leq1\). Zbl 0178.19504
Joffe, A.; Spitzer, F.
36
1967
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024
Ioffe, Alexander
34
1997
Necessary conditions in nonsmooth optimization. Zbl 0548.90088
Ioffe, A. D.
31
1984
Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014
Ioffe, Alexander
31
2000
On the theory of subdifferentials. Zbl 1277.49019
Ioffe, Alexander D.
30
2012
On subdifferentiability spaces. Zbl 0599.46065
Ioffe, Aleksandr D.
30
1983
Nonlinear regularity models. Zbl 1275.47106
Ioffe, Alexander D.
29
2013
Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001
Ioffe, A. D.; Tikhomirov, V. M.
28
1979
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
27
1996
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
27
2021
Subdifferentiale konvexer Funktionen. Zbl 0257.46042
Ioffe, A. D.; Levin, V. L.
26
1972
Metric regularity – a survey. II: Applications. Zbl 1369.49002
Ioffe, A. D.
26
2016
On lower semicontinuity of integral functionals. II. Zbl 0379.46022
Ioffe, A. D.
25
1977
A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints. Zbl 0782.90095
Ioffe, Alexander
24
1993
Regularity on a fixed set. Zbl 1275.49028
Ioffe, A. D.
24
2011
Curves of descent. Zbl 1345.26027
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
23
2015
Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023
Ioffe, Alexander D.; Zaslavski, Alexander J.
22
2000
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
22
2006
Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042
Ioffe, A. D.; Tikhomirov, V. M.
22
1974
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
20
1995
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
19
1996
Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021
Drusvyatskiy, D.; Ioffe, A. D.
19
2015
Necessary and sufficient conditions for a local minimum. 2: Conditions of Levitin-Miljutin-Osmolovskii type. Zbl 0417.49028
Ioffe, A. D.
18
1979
On regularity concepts in variational analysis. Zbl 1205.49023
Ioffe, A. D.
17
2010
A note on subdifferentials of pointwise suprema. Zbl 1258.49016
Ioffe, A. D.
16
2012
Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018
Ioffe, Alexander D.; Penot, Jean-Paul
16
1996
Sous-différentielles approchees de fonctions numériques. Zbl 0482.46029
Ioffe, Alexandre D.
16
1981
Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026
Ioffe, A. D.
16
2010
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
16
1998
Subdifferentiability spaces and nonsmooth analysis. Zbl 0554.58008
Ioffe, A. D.
15
1984
Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012
Ioffe, Alexander D.; Penot, Jean-Paul
13
1997
Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015
Ioffe, A. D.
12
2008
Regularity estimates for convex multifunctions. Zbl 1157.49026
Ioffe, A. D.; Sekiguchi, Y.
12
2009
On perturbation stability of metric regularity. Zbl 1005.47045
Ioffe, Alexander D.
12
2001
Variational analysis of a composite function: A formula for the lower second order epi-derivative. Zbl 0778.49021
Ioffe, Alexander
12
1991
Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S.
12
2016
A Sard theorem for tame set-valued mappings. Zbl 1121.49016
Ioffe, A.
10
2007
Typical convex program is very well posed. Zbl 1082.49030
Ioffe, A.; Lucchetti, R. E.
10
2005
On the Galton-Waston branching process with mean less than one. Zbl 0153.20602
Joffe, A.
10
1967
Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
10
2004
Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010
Ioffe, A.
9
2006
On robustness of the regularity property of maps. Zbl 1127.49023
Ioffe, Alexander D.
9
2003
On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027
Ioffe, Alexander D.
9
2019
The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
9
2012
Towards metric theory of metric regularity. Zbl 0986.54039
Ioffe, Alexander
9
2001
On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105
Ioffe, Alexander
9
1994
Some remarks on variational principles. Zbl 0928.49013
Ioffe, A. D.; Tikhomirov, V. M.
8
1997
Différentielles généralisées d’applications localement lipschitziennes d’un espace de Banach dans un autre. Zbl 0421.46039
Ioffe, Alexandre D.
8
1979
A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties. Zbl 0469.46005
Ioffe, A. D.
8
1981
Global surjection and global inverse mapping theorems in Banach spaces. Zbl 0709.47054
Ioffe, A. D.
8
1987
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
8
2015
On stability estimates for the regularity property of maps. Zbl 1054.58006
Ioffe, A. D.
8
2003
Transversality in variational analysis. Zbl 1382.49014
Ioffe, Alexander D.
8
2017
Abstract convexity and non-smooth analysis. Zbl 1063.49016
Ioffe, A. D.
8
2001
On some recent developments in the theory of second order optimality conditions. Zbl 0713.90094
Ioffe, A.
7
1989
A variational principle for problems with functional constraints. Zbl 1023.49021
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
7
2001
On a sequence of almost deterministic pairwise independent random variables. Zbl 0217.21102
Joffe, A.
7
1971
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
7
1995
Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018
Ioffe, Alexander
7
1999
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
7
2016
Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202
Ioffe, A. D.; Tikhomirov, V. M.
7
1968
On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036
Ioffe, Alexander
6
2007
The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022
Ginsburg, Boris; Ioffe, Alexander
6
1996
Single-valued representation of set-valued mappings. II: Application to differential inclusions. Zbl 0539.49009
Ioffe, A. D.
6
1983
On variational inequalities over polyhedral sets. Zbl 1391.49014
Ioffe, Alexander D.
6
2018
An existence theorem for problems of the calculus of variations. Zbl 0275.49009
Ioffe, A. D.
6
1972
An existence theorem for a general Bolza problem. Zbl 0341.49004
Ioffe, A. D.
6
1976
Survey of measurable selection theorems: Russian literature supplement. Zbl 0382.28004
Ioffe, A. D.
6
1978
Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002
Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S.
6
2015
Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042
Ioffe, Alexander D.
6
2014
On the theory of subdifferential. Zbl 0604.49010
Ioffe, A. D.
6
1986
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
5
2013
Towards the theory of strong minimum in calculus of variations and optimal control: a view from variational analysis. Zbl 1436.49026
Ioffe, Alexander D.
5
2020
Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027
Ioffe, A. D.
5
2005
Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115
Ioffe, Alexander
5
2006
An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces. Zbl 0885.58012
Ioffe, Alexander; Schwartzman, Efim
4
1997
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
27
2021
Towards the theory of strong minimum in calculus of variations and optimal control: a view from variational analysis. Zbl 1436.49026
Ioffe, Alexander D.
5
2020
An elementary proof of the Pontryagin maximum principle. Zbl 1462.49045
Ioffe, Alexander D.
1
2020
On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027
Ioffe, Alexander D.
9
2019
On variational inequalities over polyhedral sets. Zbl 1391.49014
Ioffe, Alexander D.
6
2018
Separable reduction of local metric regularity. Zbl 1457.58004
Fabian, M.; Ioffe, A. D.; Revalski, J.
4
2018
Metric regularity, polyhedrality and complementarity. Zbl 1392.49011
Ioffe, Alexander D.
1
2018
Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001
Ioffe, Alexander D.
142
2017
Transversality in variational analysis. Zbl 1382.49014
Ioffe, Alexander D.
8
2017
Implicit functions: a metric theory. Zbl 1383.49027
Ioffe, Alexander D.
1
2017
Metric regularity – a survey. I: Theory. Zbl 1369.49001
Ioffe, A. D.
42
2016
Metric regularity – a survey. II: Applications. Zbl 1369.49002
Ioffe, A. D.
26
2016
Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S.
12
2016
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
7
2016
On necessary conditions for a minimum. Zbl 1350.49029
Ioffe, Alexander D.
1
2016
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
55
2015
Curves of descent. Zbl 1345.26027
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
23
2015
Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021
Drusvyatskiy, D.; Ioffe, A. D.
19
2015
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
8
2015
Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002
Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S.
6
2015
Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042
Ioffe, Alexander D.
6
2014
Separable reduction of metric regularity properties. Zbl 1282.49012
Ioffe, A. D.
3
2014
Nonlinear regularity models. Zbl 1275.47106
Ioffe, Alexander D.
29
2013
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
5
2013
Convexity and variational analysis. Zbl 1305.90399
Ioffe, A. D.
4
2013
On the theory of subdifferentials. Zbl 1277.49019
Ioffe, Alexander D.
30
2012
A note on subdifferentials of pointwise suprema. Zbl 1258.49016
Ioffe, A. D.
16
2012
The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
9
2012
Erratum “On the theory of subdifferentials”. Zbl 1277.49020
Ioffe, Alexander D.
1
2012
On stability of solutions to systems of convex inequalities. Zbl 1256.49016
Ioffe, Alexander
1
2012
Regularity on a fixed set. Zbl 1275.49028
Ioffe, A. D.
24
2011
Variational analysis and mathematical economics. II: Nonsmooth regular economies. Zbl 1216.91008
Ioffe, A. D.
4
2011
Separable reduction revisited. Zbl 1216.49017
Ioffe, A. D.
3
2011
On regularity concepts in variational analysis. Zbl 1205.49023
Ioffe, A. D.
17
2010
Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026
Ioffe, A. D.
16
2010
Typical convexity (concavity) of Dini-Hadamard upper (lower) directional derivatives of functions on separable Banach spaces. Zbl 1208.46043
Ioffe, A.
2
2010
The principle of Lagrange and critical values of optimization problems. Zbl 1357.49077
Ioffe, A. D.
2
2010
An invitation to tame optimization. Zbl 1182.90083
Ioffe, A. D.
46
2009
Regularity estimates for convex multifunctions. Zbl 1157.49026
Ioffe, A. D.; Sekiguchi, Y.
12
2009
Variational analysis and mathematical economics. I: Subdifferential calculus and the second theorem of welfare economics. Zbl 1230.91047
Ioffe, A. D.
3
2009
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
100
2008
Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015
Ioffe, A. D.
12
2008
Critical points of simple functions. Zbl 1220.49009
Ioffe, A. D.; Lewis, A. S.
1
2008
On regularity of convex multifunctions. Zbl 1146.49024
Ioffe, A. D.
1
2008
A Sard theorem for tame set-valued mappings. Zbl 1121.49016
Ioffe, A.
10
2007
On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036
Ioffe, Alexander
6
2007
Exact formulae for regularity estimates. Zbl 1193.49014
Ioffe, Alexander D.; Sekiguchi, Yoshiyuki
4
2007
The \(Q\)-process in a multitype branching processes. Zbl 1136.60360
Dallaporta, S.; Joffe, A.
1
2007
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
22
2006
Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010
Ioffe, A.
9
2006
Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115
Ioffe, Alexander
5
2006
Multitype linear fractional branching processes. Zbl 1154.60068
Joffe, A.; Letac, G.
4
2006
Typical convex program is very well posed. Zbl 1082.49030
Ioffe, A.; Lucchetti, R. E.
10
2005
Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027
Ioffe, A. D.
5
2005
Generic well-posedness in minimization problems. Zbl 1099.49023
Ioffe, A.; Lucchetti, R. E.
4
2005
On necessary conditions in variable end-time optimal control problems. Zbl 1167.49315
Ioffe, A.
3
2005
Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
10
2004
On robustness of the regularity property of maps. Zbl 1127.49023
Ioffe, Alexander D.
9
2003
On stability estimates for the regularity property of maps. Zbl 1054.58006
Ioffe, A. D.
8
2003
Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023
Ioffe, A. D.; Rubinov, A. M.
4
2002
On a characterization of \(C^{1,1}\) functions. Zbl 1029.49017
Ioffe, A.; Miłosz, T.
1
2002
Convergence and extensions of variational problems with non-coercive functionals. Zbl 1125.49303
Ioffe, Alexander D.
1
2002
On perturbation stability of metric regularity. Zbl 1005.47045
Ioffe, Alexander D.
12
2001
Towards metric theory of metric regularity. Zbl 0986.54039
Ioffe, Alexander
9
2001
Abstract convexity and non-smooth analysis. Zbl 1063.49016
Ioffe, A. D.
8
2001
A variational principle for problems with functional constraints. Zbl 1023.49021
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
7
2001
Metric regularity and subdifferential calculus. Zbl 0979.49017
Ioffe, A. D.
227
2000
Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014
Ioffe, Alexander
31
2000
Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023
Ioffe, Alexander D.; Zaslavski, Alexander J.
22
2000
Generic existence, uniqueness and stability in optimization problems. Zbl 0972.90090
Ioffe, Alexander; Lucchetti, Roberto
1
2000
Calculus of variations and differential equations. Technion 1998. Selected papers of the international conference on the calculus of variations and related topics held at Technion - Israel Institute of Technology, Haifa, Israel, March 25–31, 1998, vol.I. Zbl 0921.00022
1
2000
Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018
Ioffe, Alexander
7
1999
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
16
1998
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024
Ioffe, Alexander
34
1997
Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012
Ioffe, Alexander D.; Penot, Jean-Paul
13
1997
Some remarks on variational principles. Zbl 0928.49013
Ioffe, A. D.; Tikhomirov, V. M.
8
1997
An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces. Zbl 0885.58012
Ioffe, Alexander; Schwartzman, Efim
4
1997
Directional compactness, scalarization and nonsmooth semi-Fredholm mappings. Zbl 0912.46004
Ioffe, A. D.
3
1997
Metric critical point theory. II. Deformation techniques. Zbl 0897.58008
Ioffe, A.; Schwartzman, E.
3
1997
Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018
Ioffe, A.; Schwartzman, E.
37
1996
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
27
1996
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
19
1996
Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018
Ioffe, Alexander D.; Penot, Jean-Paul
16
1996
The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022
Ginsburg, Boris; Ioffe, Alexander
6
1996
Non-smooth subdifferentials: Their calculus and applications. Zbl 0854.49016
Ioffe, A. D.
1
1996
Separable reduction theorem for approximate subdifferentials. Zbl 0856.49014
Ioffe, Alexander
1
1996
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
20
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
7
1995
Limiting subjets and their calculus. Zbl 0856.49013
Ioffe, Alexander; Penot, Jean-Paul
1
1995
On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105
Ioffe, Alexander
9
1994
A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints. Zbl 0782.90095
Ioffe, Alexander
24
1993
A new martingale in branching random walk. Zbl 0784.60081
Joffe, A.
4
1993
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
Optimization and nonlinear analysis. Proceedings of a binational workshop, held at Technion City, Haifa, Israel, 21-27 March 1990. Zbl 0745.00050
1
1992
Variational analysis of a composite function: A formula for the lower second order epi-derivative. Zbl 0778.49021
Ioffe, Alexander
12
1991
Proximal analysis and approximate subdifferentials. Zbl 0725.46045
Ioffe, A. D.
72
1990
Composite optimization: Second order conditions, value functions and sensitivity. Zbl 0708.90080
Ioffe, Alexander
3
1990
Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022
Ioffe, A. D.
97
1989
On some recent developments in the theory of second order optimality conditions. Zbl 0713.90094
Ioffe, A.
7
1989
On the local surjection property. Zbl 0642.49010
Ioffe, A. D.
43
1987
...and 50 more Documents
all top 5

Cited by 1,738 Authors

56 Ioffe, Alexander Davidovich
51 Mordukhovich, Boris S.
47 Kruger, Alexander Y.
42 Penot, Jean-Paul
37 Yao, Jen-Chih
35 López-Cerdá, Marco Antonio
34 Thibault, Lionel
31 Jourani, Abderrahim
26 Yang, Xiaoqi
25 Hantoute, Abderrahim
24 Phan Quôc Khánh
24 Théra, Michel A.
23 Drusvyatskiy, Dmitriy
20 Cánovas, María Josefa
20 Huynh Van Ngai
20 Outrata, Jiří V.
20 Parra, Juan
19 Arutyunov, Aram Vladimirovic
19 Correa, Rafael Augusto Couceiro
18 Cibulka, Radek
18 Nguyen Thi Toan
18 Zaslavski, Alexander Yakovlevich
17 Dontchev, Asen L.
17 Nguyen Dong Yen
16 Borwein, Jonathan Michael
16 Durea, Marius
16 Rossi, Riccarda
16 Zheng, Xiyin
14 Degiovanni, Marco
14 Dolgopolik, Maxim Vladimirovich
14 Lewis, Adrian S.
14 Phạm Tiên So’n
14 Strugariu, Radu
14 Vinter, Richard B.
13 Geoffroy, Michel H.
13 Ng, Kung-Fu
13 Pan, Shaohua
13 Thao, Nguyen Hieu
13 Tret’yakov, Alexey A.
13 Tröltzsch, Fredi
13 Uderzo, Amos
13 Ye, Jane J.
12 Frankowska, Hélène
12 Gfrerer, Helmut
12 Kien, Bui Trong
12 Thuy, Le Quang
11 Papageorgiou, Nikolaos S.
11 Pérez-Aros, Pedro
11 Wang, Shawn Xianfu
11 Wei, Zhou
10 Daniilidis, Aris
10 Davis, Damek Shea
10 Fabian, Marián J.
10 Lassonde, Marc
10 Li, Chong
10 Li, Shengjie
10 Páles, Zsolt
10 Pickenhain, Sabine
10 Shapiro, Alexander
10 Zlateva, Nadia P.
9 Balder, Erik J.
9 Chikriĭ, Arkadiĭ Alekseevich
9 Cuong, Nguyen Duy
9 Ledzewicz, Urszula
9 Ribarska, Nadezhda K.
9 Roshchina, Vera
9 Wang, Bingwu
9 Zhu, Jiangxing
8 Azhmyakov, Vadim
8 Bednarczuk, Ewa M.
8 Bettiol, Piernicola
8 Bounkhel, Messaoud
8 Bui, Hoa T.
8 Eberhard, Andrew C.
8 Gaydu, Michaël
8 Henrion, René
8 Huong, Vu Thi
8 Klatte, Diethard
8 Liu, Jiaquan
8 Mehlitz, Patrick
8 Meng, Kaiwen
8 Nam, Nguyen Mau
8 Rockafellar, Ralph Tyrrell
8 Ruszczyński, Andrzej
8 Thai Doan Chuong
8 Tolstonogov, Aleksandr Aleksandrovich
7 Anh, Lam Quoc
7 Azé, Dominique
7 Chebotarev, Alexander Yurievich
7 Clarke, Francis H.
7 Corvellec, Jean-Noël
7 Demyanov, Vladimir Fedorovich
7 Dinh The Luc
7 Gorokhovik, Valentin Vikent’evich
7 Hritonenko, Natali
7 Kim, Do Sang
7 Krastanov, Mikhail Ivanov
7 Lee, Gue Myung
7 Li, Minghua
7 Luke, Russell
...and 1,638 more Authors
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Cited in 308 Serials

184 Journal of Optimization Theory and Applications
129 Journal of Mathematical Analysis and Applications
107 Set-Valued and Variational Analysis
95 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
95 Optimization
95 Mathematical Programming. Series A. Series B
87 SIAM Journal on Optimization
56 Journal of Convex Analysis
55 Nonlinear Analysis. Theory, Methods & Applications
53 Journal of Global Optimization
34 Vietnam Journal of Mathematics
33 Set-Valued Analysis
30 Transactions of the American Mathematical Society
29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
27 Numerical Functional Analysis and Optimization
26 Optimization Letters
25 Applied Mathematics and Optimization
22 Journal of Differential Equations
22 Computational Optimization and Applications
21 Mathematical Notes
21 Proceedings of the American Mathematical Society
20 Positivity
18 SIAM Journal on Control and Optimization
17 Journal of Applied Mathematics and Mechanics
17 Journal of Mathematical Sciences (New York)
16 Journal of Functional Analysis
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Mathematics of Operations Research
14 Calculus of Variations and Partial Differential Equations
13 Applicable Analysis
13 Cybernetics and Systems Analysis
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Siberian Mathematical Journal
12 Differential Equations
11 Automation and Remote Control
11 Proceedings of the Steklov Institute of Mathematics
11 Journal of Fixed Point Theory and Applications
10 Bulletin of the Australian Mathematical Society
10 Systems & Control Letters
9 Acta Mathematica Vietnamica
9 Journal of Mathematical Economics
9 Discrete and Continuous Dynamical Systems
8 Applied Mathematics and Computation
7 Top
7 Taiwanese Journal of Mathematics
7 Journal of Inequalities and Applications
6 Ukrainian Mathematical Journal
6 Journal of Computational and Applied Mathematics
6 Optimal Control Applications & Methods
6 Insurance Mathematics & Economics
6 Economic Theory
5 Journal of Approximation Theory
5 Journal of Soviet Mathematics
5 Kybernetika
5 Zeitschrift für Analysis und ihre Anwendungen
5 Acta Applicandae Mathematicae
5 Journal of Scientific Computing
5 Computational Mathematics and Modeling
5 Annals of Operations Research
5 Computational Mathematics and Mathematical Physics
5 European Journal of Operational Research
5 SIAM Journal on Mathematical Analysis
5 Journal of Computer and Systems Sciences International
5 Abstract and Applied Analysis
5 Optimization Methods & Software
5 Mathematical Methods of Operations Research
5 Foundations of Computational Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Industrial and Management Optimization
5 Discrete and Continuous Dynamical Systems. Series S
4 Archive for Rational Mechanics and Analysis
4 Computers & Mathematics with Applications
4 Mathematical Methods in the Applied Sciences
4 Automatica
4 Numerische Mathematik
4 Proceedings of the Japan Academy. Series A
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Applied Numerical Mathematics
4 Journal of Economic Dynamics & Control
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Linear Algebra and its Applications
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
3 International Journal of Control
3 Inverse Problems
3 Advances in Mathematics
3 The Annals of Statistics
3 Archiv der Mathematik
3 Functional Analysis and its Applications
3 Journal of Economic Theory
3 Mathematische Nachrichten
3 Mathematical Programming
3 Rendiconti del Seminario Matematico della Università di Padova
3 Cybernetics
3 Acta Mathematica Hungarica
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Applied Mathematics Letters
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 208 more Serials
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Cited in 53 Fields

1,374 Calculus of variations and optimal control; optimization (49-XX)
958 Operations research, mathematical programming (90-XX)
231 Functional analysis (46-XX)
210 Operator theory (47-XX)
199 Numerical analysis (65-XX)
179 Global analysis, analysis on manifolds (58-XX)
170 Partial differential equations (35-XX)
161 Real functions (26-XX)
125 Systems theory; control (93-XX)
107 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
106 Ordinary differential equations (34-XX)
99 General topology (54-XX)
52 Convex and discrete geometry (52-XX)
49 Measure and integration (28-XX)
42 Mechanics of deformable solids (74-XX)
36 Statistics (62-XX)
33 Probability theory and stochastic processes (60-XX)
31 Approximations and expansions (41-XX)
19 Computer science (68-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Dynamical systems and ergodic theory (37-XX)
16 Mechanics of particles and systems (70-XX)
15 Mathematical logic and foundations (03-XX)
15 Algebraic geometry (14-XX)
15 Information and communication theory, circuits (94-XX)
13 Difference and functional equations (39-XX)
13 Fluid mechanics (76-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Integral equations (45-XX)
11 Differential geometry (53-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Manifolds and cell complexes (57-XX)
7 Biology and other natural sciences (92-XX)
6 History and biography (01-XX)
6 Optics, electromagnetic theory (78-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Functions of a complex variable (30-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Algebraic topology (55-XX)
2 Combinatorics (05-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Geophysics (86-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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