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## Ioffe, Alexander Davidovich

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 Author ID: ioffe.alexander-d Published as: Ioffe, A.; Ioffe, A. D.; Ioffe, Aleksandr D.; Ioffe, Alexander; Ioffe, Alexander D.; Ioffe, Alexandre D. Homepage: http://www2.math.technion.ac.il/~ioffe/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 167 Publications since 1966, including 9 Books Biographic References: 3 Publications
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#### Co-Authors

 104 single-authored 10 Tikhomirov, Vladimir Mikhaĭlovich 7 Drusvyatskiy, Dmitriy 7 Lewis, Adrian S. 7 Schwartzman, Efim 6 Roberto, Lucchetti E. 4 Bonnans, Joseph Frédéric 4 Revalski, Julian Petrov 3 Fabian, Marián J. 3 Levin, Vladimir L’vovich 3 Penot, Jean-Paul 3 Reich, Simeon 2 Malanowski, Kazimierz D. 2 Sekiguchi, Yoshiyuki 2 Shafrir, Itai 2 Shapiro, Alexander 2 Tröltzsch, Fredi 2 Yudin, David Borisovich 1 Bodneva, Valeriya L. 1 Boltyanskij, Vladimir Grigor’evich 1 Borwein, Jonathan Michael 1 Cibulka, Radek 1 Dikusar, V. V. 1 Dmitruk, Andrei V. 1 Fabian, Martin 1 Freddi, Lorenzo 1 Gel’fand, Israil’ Moiseevich 1 Ginsburg, Boris 1 Kazhdan, Ya. M. 1 Khenkin, Gennadiĭ Markovich 1 Marcus, Moshe M. 1 Miłosz, T. 1 Osmolovskiĭ, Nikolaĭ Pavlovich 1 Outrata, Jiří V. 1 Rockafellar, Ralph Tyrrell 1 Rubinov, Alexander M. 1 Tihomirov, V. M. 1 Yudin, B. D. 1 Zaslavski, Alexander Yakovlevich
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#### Serials

 10 SIAM Journal on Control and Optimization 9 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 SIAM Journal on Optimization 4 Mathematics of Operations Research 4 Proceedings of the American Mathematical Society 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Set-Valued Analysis 4 Journal of Fixed Point Theory and Applications 3 Russian Mathematical Surveys 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Mathematical Analysis and Applications 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Differentsial’nye Uravneniya 2 Differential Equations 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 Calculus of Variations and Partial Differential Equations 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 Optimizacija 2 Advances in Nonlinear Analysis 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 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 Pacific Journal of Optimization 1 Bulletin of the American Mathematical Society 1 Springer Monographs in Mathematics
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#### Fields

 123 Calculus of variations and optimal control; optimization (49-XX) 53 Operations research, mathematical programming (90-XX) 41 Global analysis, analysis on manifolds (58-XX) 36 Functional analysis (46-XX) 21 Real functions (26-XX) 18 Operator theory (47-XX) 17 General topology (54-XX) 11 Measure and integration (28-XX) 8 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

127 Publications have been cited 2,294 times in 1,466 Documents Cited by Year
Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051
Ioffe, A. D.; Tihomirov, V. M.
1979
Metric regularity and subdifferential calculus. Zbl 0979.49017
Ioffe, A. D.
2000
Approximate subdifferentials and applications. I: The finite dimensional theory. Zbl 0531.49014
Ioffe, A. D.
1984
On lower semicontinuity of integral functionals. I. Zbl 0361.46037
Ioffe, A. D.
1977
Nonsmooth analysis: differential calculus of nondifferentiable mappings. Zbl 0651.58007
Ioffe, A. D.
1981
Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022
Ioffe, A. D.
1989
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
2008
Regular points of Lipschitz functions. Zbl 0427.58008
Ioffe, Alexander D.
1979
Necessary and sufficient conditions for a local minimum. 1: A reduction theorem and first order conditions. Zbl 0417.49027
Ioffe, A. D.
1979
Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality. Zbl 0417.49029
Ioffe, A. D.
1979
Proximal analysis and approximate subdifferentials. Zbl 0725.46045
Ioffe, A. D.
1990
Duality of convex functions and extremum problems. Zbl 0191.13101
Ioffe, A. D.; Tikhomirov, V. M.
1968
Extension of variational problems. Zbl 0194.13902
Ioffe, A. D.; Tikhomirov, V. M.
1968
Approximate subdifferentials and applications. II. Zbl 0601.49008
Ioffe, A. D.
1986
Subdifferentials of convex functions. Zbl 0281.46039
Ioffe, A. D.; Levin, V. L.
1974
On the local surjection property. Zbl 0642.49010
Ioffe, A. D.
1987
Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001
Ioffe, Alexander D.
2017
Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018
Ioffe, A.; Schwartzman, E.
1996
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2015
An invitation to tame optimization. Zbl 1182.90083
Ioffe, A. D.
2009
Necessary conditions in nonsmooth optimization. Zbl 0548.90088
Ioffe, A. D.
1984
Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014
Ioffe, Alexander
2000
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024
Ioffe, Alexander
1997
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
1996
On the theory of subdifferentials. Zbl 1277.49019
Ioffe, Alexander D.
2012
On lower semicontinuity of integral functionals. II. Zbl 0379.46022
Ioffe, A. D.
1977
Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023
Ioffe, Alexander D.; Zaslavski, Alexander J.
2000
On subdifferentiability spaces. Zbl 0599.46065
Ioffe, Aleksandr D.
1983
Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001
Ioffe, A. D.; Tikhomirov, V. M.
1979
Metric regularity – a survey. I: Theory. Zbl 1369.49001
Ioffe, A. D.
2016
Nonlinear regularity models. Zbl 1275.47106
Ioffe, Alexander D.
2013
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
1993
Necessary and sufficient conditions for a local minimum. 2: Conditions of Levitin-Miljutin-Osmolovskii type. Zbl 0417.49028
Ioffe, A. D.
1979
Regularity on a fixed set. Zbl 1275.49028
Ioffe, A. D.
2011
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
1996
Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026
Ioffe, A. D.
2010
Subdifferentiability spaces and nonsmooth analysis. Zbl 0554.58008
Ioffe, A. D.
1984
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
2006
Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021
Drusvyatskiy, D.; Ioffe, A. D.
2015
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
1995
Sous-différentielles approchees de fonctions numériques. Zbl 0482.46029
Ioffe, Alexandre D.
1981
Metric regularity – a survey. II: Applications. Zbl 1369.49002
Ioffe, A. D.
2016
On regularity concepts in variational analysis. Zbl 1205.49023
Ioffe, A. D.
2010
Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015
Ioffe, A. D.
2008
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
1998
Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018
Ioffe, Alexander D.; Penot, Jean-Paul
1996
Variational analysis of a composite function: A formula for the lower second order epi-derivative. Zbl 0778.49021
Ioffe, Alexander
1991
Regularity estimates for convex multifunctions. Zbl 1157.49026
Ioffe, A. D.; Sekiguchi, Y.
2009
On perturbation stability of metric regularity. Zbl 1005.47045
Ioffe, Alexander D.
2001
Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012
Ioffe, Alexander D.; Penot, Jean-Paul
1997
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
2015
Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
2004
On robustness of the regularity property of maps. Zbl 1127.49023
Ioffe, Alexander D.
2003
Différentielles généralisées d’applications localement lipschitziennes d’un espace de Banach dans un autre. Zbl 0421.46039
Ioffe, Alexandre D.
1979
Curves of descent. Zbl 1345.26027
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2015
A note on subdifferentials of pointwise suprema. Zbl 1258.49016
Ioffe, A. D.
2012
The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2012
A Sard theorem for tame set-valued mappings. Zbl 1121.49016
Ioffe, A.
2007
Towards metric theory of metric regularity. Zbl 0986.54039
Ioffe, Alexander
2001
Some remarks on variational principles. Zbl 0928.49013
Ioffe, A. D.; Tikhomirov, V. M.
1997
On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105
Ioffe, Alexander
1994
Global surjection and global inverse mapping theorems in Banach spaces. Zbl 0709.47054
Ioffe, A. D.
1987
Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042
Ioffe, Alexander D.
2014
On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036
Ioffe, Alexander
2007
Typical convex program is very well posed. Zbl 1082.49030
Ioffe, A.; Lucchetti, R. E.
2005
On stability estimates for the regularity property of maps. Zbl 1054.58006
Ioffe, A. D.
2003
A variational principle for problems with functional constraints. Zbl 1023.49021
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
2001
On the theory of subdifferential. Zbl 0604.49010
Ioffe, A. D.
1986
Single-valued representation of set-valued mappings. II: Application to differential inclusions. Zbl 0539.49009
Ioffe, A. D.
1983
A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties. Zbl 0469.46005
Ioffe, A. D.
1981
An existence theorem for a general Bolza problem. Zbl 0341.49004
Ioffe, A. D.
1976
Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042
Ioffe, A. D.; Tikhomirov, V. M.
1974
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
2016
Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S.
2016
Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010
Ioffe, A.
2006
Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027
Ioffe, A. D.
2005
Abstract convexity and non-smooth analysis. Zbl 1063.49016
Ioffe, A. D.
2001
The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022
Ginsburg, Boris; Ioffe, Alexander
1996
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
1995
Survey of measurable selection theorems: Russian literature supplement. Zbl 0382.28004
Ioffe, A. D.
1978
Transversality in variational analysis. Zbl 1382.49014
Ioffe, Alexander D.
2017
Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002
Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S.
2015
Variational analysis and mathematical economics. II: Nonsmooth regular economies. Zbl 1216.91008
Ioffe, A. D.
2011
Exact formulae for regularity estimates. Zbl 1193.49014
Ioffe, Alexander D.; Sekiguchi, Yoshiyuki
2007
Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023
Ioffe, A. D.; Rubinov, A. M.
2002
Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018
Ioffe, Alexander
1999
An existence theorem for problems of the calculus of variations. Zbl 0275.49009
Ioffe, A. D.
1972
On minimization of integral functionals. Zbl 0193.07603
Ioffe, A. D.; Tikhomirov, V. M.
1969
On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027
Ioffe, Alexander D.
2019
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
2013
Variational analysis and mathematical economics. I: Subdifferential calculus and the second theorem of welfare economics. Zbl 1230.91047
Ioffe, A. D.
2009
Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115
Ioffe, Alexander
2006
Generic well-posedness in minimization problems. Zbl 1099.49023
Ioffe, A.; Lucchetti, R. E.
2005
Metric critical point theory. II. Deformation techniques. Zbl 0897.58008
Ioffe, A.; Schwartzman, E.
1997
Directional compactness, scalarization and nonsmooth semi-Fredholm mappings. Zbl 0912.46004
Ioffe, A. D.
1997
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
1992
Composite optimization: Second order conditions, value functions and sensitivity. Zbl 0708.90080
Ioffe, Alexander
1990
Absolutely continuous subgradients of nonconvex integral functionals. Zbl 0612.49013
Ioffe, A. D.
1987
Single-valued representation of set-valued mappings. Zbl 0417.28006
Ioffe, A. D.
1979
Die Dualität von konvexen Funktionen und Extremalprobleme. Zbl 0167.42202
Ioffe, A. D.; Tikhomirov, V. M.
1968
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
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.
2020
On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027
Ioffe, Alexander D.
2019
On variational inequalities over polyhedral sets. Zbl 1391.49014
Ioffe, Alexander D.
2018
Separable reduction of local metric regularity. Zbl 1457.58004
Fabian, M.; Ioffe, A. D.; Revalski, J.
2018
Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001
Ioffe, Alexander D.
2017
Transversality in variational analysis. Zbl 1382.49014
Ioffe, Alexander D.
2017
Metric regularity – a survey. I: Theory. Zbl 1369.49001
Ioffe, A. D.
2016
Metric regularity – a survey. II: Applications. Zbl 1369.49002
Ioffe, A. D.
2016
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
2016
Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S.
2016
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2015
Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021
Drusvyatskiy, D.; Ioffe, A. D.
2015
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
2015
Curves of descent. Zbl 1345.26027
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2015
Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002
Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S.
2015
Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042
Ioffe, Alexander D.
2014
Separable reduction of metric regularity properties. Zbl 1282.49012
Ioffe, A. D.
2014
Nonlinear regularity models. Zbl 1275.47106
Ioffe, Alexander D.
2013
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
2013
Convexity and variational analysis. Zbl 1305.90399
Ioffe, A. D.
2013
On the theory of subdifferentials. Zbl 1277.49019
Ioffe, Alexander D.
2012
A note on subdifferentials of pointwise suprema. Zbl 1258.49016
Ioffe, A. D.
2012
The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2012
Regularity on a fixed set. Zbl 1275.49028
Ioffe, A. D.
2011
Variational analysis and mathematical economics. II: Nonsmooth regular economies. Zbl 1216.91008
Ioffe, A. D.
2011
Separable reduction revisited. Zbl 1216.49017
Ioffe, A. D.
2011
Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026
Ioffe, A. D.
2010
On regularity concepts in variational analysis. Zbl 1205.49023
Ioffe, A. D.
2010
Typical convexity (concavity) of Dini-Hadamard upper (lower) directional derivatives of functions on separable Banach spaces. Zbl 1208.46043
Ioffe, A.
2010
The principle of Lagrange and critical values of optimization problems. Zbl 1357.49077
Ioffe, A. D.
2010
An invitation to tame optimization. Zbl 1182.90083
Ioffe, A. D.
2009
Regularity estimates for convex multifunctions. Zbl 1157.49026
Ioffe, A. D.; Sekiguchi, Y.
2009
Variational analysis and mathematical economics. I: Subdifferential calculus and the second theorem of welfare economics. Zbl 1230.91047
Ioffe, A. D.
2009
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
2008
Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015
Ioffe, A. D.
2008
On regularity of convex multifunctions. Zbl 1146.49024
Ioffe, A. D.
2008
Critical points of simple functions. Zbl 1220.49009
Ioffe, A. D.; Lewis, A. S.
2008
A Sard theorem for tame set-valued mappings. Zbl 1121.49016
Ioffe, A.
2007
On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036
Ioffe, Alexander
2007
Exact formulae for regularity estimates. Zbl 1193.49014
Ioffe, Alexander D.; Sekiguchi, Yoshiyuki
2007
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
2006
Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010
Ioffe, A.
2006
Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115
Ioffe, Alexander
2006
Typical convex program is very well posed. Zbl 1082.49030
Ioffe, A.; Lucchetti, R. E.
2005
Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027
Ioffe, A. D.
2005
Generic well-posedness in minimization problems. Zbl 1099.49023
Ioffe, A.; Lucchetti, R. E.
2005
On necessary conditions in variable end-time optimal control problems. Zbl 1167.49315
Ioffe, A.
2005
Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
2004
On robustness of the regularity property of maps. Zbl 1127.49023
Ioffe, Alexander D.
2003
On stability estimates for the regularity property of maps. Zbl 1054.58006
Ioffe, A. D.
2003
Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023
Ioffe, A. D.; Rubinov, A. M.
2002
Convergence and extensions of variational problems with non-coercive functionals. Zbl 1125.49303
Ioffe, Alexander D.
2002
On a characterization of $$C^{1,1}$$ functions. Zbl 1029.49017
Ioffe, A.; Miłosz, T.
2002
On perturbation stability of metric regularity. Zbl 1005.47045
Ioffe, Alexander D.
2001
Towards metric theory of metric regularity. Zbl 0986.54039
Ioffe, Alexander
2001
A variational principle for problems with functional constraints. Zbl 1023.49021
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P.
2001
Abstract convexity and non-smooth analysis. Zbl 1063.49016
Ioffe, A. D.
2001
Metric regularity and subdifferential calculus. Zbl 0979.49017
Ioffe, A. D.
2000
Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014
Ioffe, Alexander
2000
Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023
Ioffe, Alexander D.; Zaslavski, Alexander J.
2000
Generic existence, uniqueness and stability in optimization problems. Zbl 0972.90090
Ioffe, Alexander; Lucchetti, Roberto
2000
Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018
Ioffe, Alexander
1999
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
1998
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024
Ioffe, Alexander
1997
Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012
Ioffe, Alexander D.; Penot, Jean-Paul
1997
Some remarks on variational principles. Zbl 0928.49013
Ioffe, A. D.; Tikhomirov, V. M.
1997
Metric critical point theory. II. Deformation techniques. Zbl 0897.58008
Ioffe, A.; Schwartzman, E.
1997
Directional compactness, scalarization and nonsmooth semi-Fredholm mappings. Zbl 0912.46004
Ioffe, A. D.
1997
An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces. Zbl 0885.58012
Ioffe, Alexander; Schwartzman, Efim
1997
Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018
Ioffe, A.; Schwartzman, E.
1996
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
1996
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
1996
Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018
Ioffe, Alexander D.; Penot, Jean-Paul
1996
The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022
Ginsburg, Boris; Ioffe, Alexander
1996
Separable reduction theorem for approximate subdifferentials. Zbl 0856.49014
Ioffe, Alexander
1996
Non-smooth subdifferentials: Their calculus and applications. Zbl 0854.49016
Ioffe, A. D.
1996
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
1995
On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105
Ioffe, Alexander
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
1993
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
1992
Optimization and nonlinear analysis. Proceedings of a binational workshop, held at Technion City, Haifa, Israel, 21-27 March 1990. Zbl 0745.00050
Ioffe, A. (ed.); Marcus, M. (ed.); Reich, S. (ed.)
1992
Variational analysis of a composite function: A formula for the lower second order epi-derivative. Zbl 0778.49021
Ioffe, Alexander
1991
Proximal analysis and approximate subdifferentials. Zbl 0725.46045
Ioffe, A. D.
1990
Composite optimization: Second order conditions, value functions and sensitivity. Zbl 0708.90080
Ioffe, Alexander
1990
Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022
Ioffe, A. D.
1989
On some recent developments in the theory of second order optimality conditions. Zbl 0713.90094
Ioffe, A.
1989
On the local surjection property. Zbl 0642.49010
Ioffe, A. D.
1987
Global surjection and global inverse mapping theorems in Banach spaces. Zbl 0709.47054
Ioffe, A. D.
1987
Absolutely continuous subgradients of nonconvex integral functionals. Zbl 0612.49013
Ioffe, A. D.
1987
Approximate subdifferentials and applications. II. Zbl 0601.49008
Ioffe, A. D.
1986
On the theory of subdifferential. Zbl 0604.49010
Ioffe, A. D.
1986
Approximate subdifferentials and applications. I: The finite dimensional theory. Zbl 0531.49014
Ioffe, A. D.
1984
Necessary conditions in nonsmooth optimization. Zbl 0548.90088
Ioffe, A. D.
1984
Subdifferentiability spaces and nonsmooth analysis. Zbl 0554.58008
Ioffe, A. D.
1984
On subdifferentiability spaces. Zbl 0599.46065
Ioffe, Aleksandr D.
1983
Single-valued representation of set-valued mappings. II: Application to differential inclusions. Zbl 0539.49009
Ioffe, A. D.
1983
Second order conditions in nonlinear nonsmooth problems of semi-infinite programming. Zbl 0522.90080
Ioffe, A. D.
1983
Nonsmooth analysis: differential calculus of nondifferentiable mappings. Zbl 0651.58007
Ioffe, A. D.
1981
...and 27 more Documents
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#### Cited by 1,243 Authors

 48 Ioffe, Alexander Davidovich 46 Mordukhovich, Boris S. 36 Penot, Jean-Paul 35 Kruger, Alexander Ya. 25 Yao, Jen-Chih 23 López-Cerdá, Marco Antonio 19 Outrata, Jiří V. 19 Thibault, Lionel 18 Huynh Van Ngai 18 Yang, Xiaoqi 17 Zaslavski, Alexander Yakovlevich 16 Borwein, Jonathan Michael 16 Dontchev, Asen L. 16 Drusvyatskiy, Dmitriy 16 Phan Quôc Khánh 15 Jourani, Abdeljalil 15 Théra, Michel A. 14 Cánovas, María Josefa 14 Parra, Juan 14 Zheng, Xiyin 13 Cibulka, Radek 13 Geoffroy, Michel H. 13 Jourani, Abderrahim 12 Degiovanni, Marco 12 Lewis, Adrian S. 12 Rossi, Riccarda 11 Arutyunov, Aram Vladimirovic 11 Hantoute, Abderrahim 11 Ng, Kung-Fu 11 Thao, Nguyen Hieu 10 Durea, Marius 10 Lassonde, Marc 10 Páles, Zsolt 10 Phạm Tiên So’n 10 Thibault, Louis-Philippe 10 Vinter, Richard B. 10 Wang, Bingwu 9 Balder, Erik J. 9 Chikriĭ, Arkadiĭ Alekseevich 9 Fabian, Marián J. 9 Gfrerer, Helmut 9 Shapiro, Alexander 9 Strugariu, Radu 9 Tret’yakov, Alexey A. 9 Uderzo, Amos 9 Ye, Jane J. 8 Bounkhel, Messaoud 8 Chuong, Thai Doan 8 Correa, Rafael 8 Eberhard, Andrew C. 8 Frankowska, Hélène 8 Gaydu, Michaël 8 Henrion, René 8 Liu, Jiaquan 8 Nam, Nguyen Mau 8 Nguyen Thi Toan 8 Rockafellar, Ralph Tyrrell 8 Tolstonogov, Aleksandr Aleksandrovich 8 Tröltzsch, Fredi 8 Wang, Shawn Xianfu 8 Nguyen Dong Yen 7 Azé, Dominique 7 Klatte, Diethard 7 Li, Chong 7 Papageorgiou, Nikolaos S. 7 Pickenhain, Sabine 7 Seeger, Alberto 7 Shao, Yongheng 6 Adam, Lukáš 6 Buttazzo, Giuseppe 6 Clarke, Francis H. 6 Corvellec, Jean-Noël 6 Daniilidis, Aris 6 Demyanov, Vladimir Fedorovich 6 Dinh The Luc 6 Dolgopolik, Maxim Vladimirovich 6 Hoàng Xuân Phù 6 Jeyakumar, Vaithilingam 6 Kien, Bui Trong 6 Ledyaev, Yuri Semenovich 6 Ledzewicz, Urszula 6 Lee, Gue Myung 6 Li, Shengjie 6 Roshchina, Vera 6 Schimperna, Giulio 6 Treiman, Jay S. 6 Visintin, Augusto 6 Wagner, Marcus M. 6 Wang, Zhi-Qiang 6 Zeidan, Vera Michel 6 Zhang, Binbin 6 Zhu, Qiji Jim 5 Adly, Samir 5 Amahroq, Tijani 5 Anh, Lam Quoc 5 Bonnans, Joseph Frédéric 5 Bouchitté, Guy 5 Burke, James V. 5 Casas, Eduardo 5 Červinka, Michal ...and 1,143 more Authors
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#### Cited in 220 Serials

 151 Journal of Optimization Theory and Applications 109 Journal of Mathematical Analysis and Applications 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Set-Valued and Variational Analysis 69 Mathematical Programming. Series A. Series B 54 Optimization 48 SIAM Journal on Optimization 48 Nonlinear Analysis. Theory, Methods & Applications 36 Journal of Global Optimization 33 Set-Valued Analysis 30 Vietnam Journal of Mathematics 29 Transactions of the American Mathematical Society 21 Numerical Functional Analysis and Optimization 20 Mathematical Notes 19 Journal of Differential Equations 19 Proceedings of the American Mathematical Society 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Optimization Letters 18 Journal of Applied Mathematics and Mechanics 15 Applied Mathematics and Optimization 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Journal of Mathematical Sciences (New York) 13 Cybernetics and Systems Analysis 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Mathematics of Operations Research 11 Calculus of Variations and Partial Differential Equations 11 Journal of Convex Analysis 11 Positivity 10 SIAM Journal on Control and Optimization 10 Siberian Mathematical Journal 9 Bulletin of the Australian Mathematical Society 9 Journal of Functional Analysis 9 Computational Optimization and Applications 9 Proceedings of the Steklov Institute of Mathematics 9 Journal of Fixed Point Theory and Applications 8 Systems & Control Letters 8 Discrete and Continuous Dynamical Systems 7 Applied Mathematics and Computation 7 Top 6 Journal of Approximation Theory 6 Journal of Mathematical Economics 5 Applicable Analysis 5 Ukrainian Mathematical Journal 5 Acta Mathematica Vietnamica 5 Journal of Soviet Mathematics 5 Kybernetika 5 Computational Mathematics and Modeling 5 Annals of Operations Research 5 European Journal of Operational Research 5 Economic Theory 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 4 Numerische Mathematik 4 Proceedings of the Japan Academy. Series A 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Applicandae Mathematicae 4 Applied Numerical Mathematics 4 Linear Algebra and its Applications 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Advances in Mathematics 3 Archiv der Mathematik 3 Automatica 3 Journal of Computational and Applied Mathematics 3 Mathematical Programming 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Cybernetics 3 Insurance Mathematics & Economics 3 Acta Mathematica Hungarica 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Journal of Economic Dynamics & Control 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Russian Mathematics 3 Theory of Probability and Mathematical Statistics 3 Taiwanese Journal of Mathematics 3 Journal of Dynamical and Control Systems 3 RAIRO. Operations Research 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of the Australian Mathematical Society 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 2 International Journal of Control 2 International Journal of Systems Science 2 Israel Journal of Mathematics 2 Stochastics 2 Annales de l’Institut Fourier 2 Functional Analysis and its Applications 2 Journal of Economic Theory 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Mathematika 2 Journal of Information & Optimization Sciences 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics ...and 120 more Serials
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#### Cited in 48 Fields

 971 Calculus of variations and optimal control; optimization (49-XX) 616 Operations research, mathematical programming (90-XX) 164 Functional analysis (46-XX) 152 Global analysis, analysis on manifolds (58-XX) 134 Operator theory (47-XX) 115 Numerical analysis (65-XX) 114 Real functions (26-XX) 99 Partial differential equations (35-XX) 85 General topology (54-XX) 84 Systems theory; control (93-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Ordinary differential equations (34-XX) 41 Measure and integration (28-XX) 33 Mechanics of deformable solids (74-XX) 26 Convex and discrete geometry (52-XX) 24 Approximations and expansions (41-XX) 24 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 14 Mechanics of particles and systems (70-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Algebraic geometry (14-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Fluid mechanics (76-XX) 8 Mathematical logic and foundations (03-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 5 History and biography (01-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Difference and functional equations (39-XX) 4 Manifolds and cell complexes (57-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX)

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