Edit Profile (opens in new tab) Ioffe, Alexander Davidovich Co-Author Distance Author ID: ioffe.alexander-d Published as: Ioffe, A. D.; Ioffe, Alexander D.; Ioffe, Alexander; Ioffe, A.; Ioffe, Alexandre D.; Ioffe, Aleksandr D.; Joffe, Alexander D.; Joffe, A. D. more...less 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 Documents Indexed: 184 Publications since 1962, including 4 Books and 4 Additional arXiv Preprints 5 Contributions as Editor Biographic References: 6 Publications Co-Authors: 37 Co-Authors with 64 Joint Publications 1,608 Co-Co-Authors all top 5 Co-Authors 119 single-authored 11 Tikhomirov, Vladimir Mikhaĭlovich 7 Drusvyatskiy, Dmitriy 7 Lewis, Adrian S. 7 Schwartzman, Efim 6 Roberto, Lucchetti E. 5 Revalski, Julian Petrov 4 Bonnans, Joseph Frédéric 3 Fabian, Marián J. 3 Levin, Vladimir L’vovich 3 Penot, Jean-Paul 3 Reich, Simeon 2 Fabian, Martin 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 Dallaporta, Sandrine 1 Dikusar, V. V. 1 Dmitruk, Andrei V. 1 Freddi, Lorenzo 1 Gel’fand, Israil’ Moiseevich 1 Ginsburg, Boris 1 Kazhdan, Ya. M. 1 Khenkin, Gennadiĭ Markovich 1 Klotz, Jerome H. 1 Letac, Gérard G. 1 Marcus, Moshe M. 1 Metivier, Michel 1 Miłosz, T. 1 Osmolovskiĭ, Nikolaĭ Pavlovich 1 Outrata, Jiří V. 1 Rockafellar, Ralph Tyrrell 1 Rubinov, Aleksandr Moiseevich 1 Spitzer, Frank L. 1 Yudin, B. D. 1 Zaslavski, Alexander Yakovlevich 1 Zelenko, Igor all top 5 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 all top 5 Fields 129 Calculus of variations and optimal control; optimization (49-XX) 55 Operations research, mathematical programming (90-XX) 42 Global analysis, analysis on manifolds (58-XX) 38 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 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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