Edit Profile (opens in new tab) Ioffe, Alexander Davidovich Compute Distance To: Compute Author ID: ioffe.alexander-d Published as: Ioffe, A. D.; Ioffe, Alexander D.; Ioffe, Alexander; Ioffe, A.; Ioffe, Alexandre D.; Ioffe, Aleksandr D. more...less Homepage: http://www2.math.technion.ac.il/~ioffe/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 163 Publications since 1966, including 4 Books 5 Contributions as Editor Biographic References: 4 Publications Co-Authors: 37 Co-Authors with 63 Joint Publications 1,498 Co-Co-Authors all top 5 Co-Authors 104 single-authored 11 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, Aleksandr Moiseevich 1 Yudin, B. D. 1 Zaslavski, Alexander Yakovlevich 1 Zelenko, Igor all top 5 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 4 Nonlinear Analysis. Theory, Methods & Applications 3 Russian Mathematical Surveys 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 all top 5 Fields 124 Calculus of variations and optimal control; optimization (49-XX) 54 Operations research, mathematical programming (90-XX) 41 Global analysis, analysis on manifolds (58-XX) 37 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 2,633 times in 1,671 Documents Cited by ▼ Year ▼ Theory of extremal problems. Translated from the Russian by K. Makowski. Zbl 0407.90051Ioffe, A. D.; Tihomirov, V. M. 307 1979 Metric regularity and subdifferential calculus. Zbl 0979.49017Ioffe, A. D. 197 2000 On lower semicontinuity of integral functionals. I. Zbl 0361.46037Ioffe, A. D. 100 1977 Nonsmooth analysis: differential calculus of nondifferentiable mappings. Zbl 0651.58007Ioffe, A. D. 97 1981 Approximate subdifferentials and applications. I: The finite dimensional theory. Zbl 0531.49014Ioffe, A. D. 95 1984 On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013Ioffe, Alexander D.; Outrata, Jiří V. 88 2008 Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022Ioffe, A. D. 88 1989 Necessary and sufficient conditions for a local minimum. 1: A reduction theorem and first order conditions. Zbl 0417.49027Ioffe, A. D. 83 1979 Regular points of Lipschitz functions. Zbl 0427.58008Ioffe, Alexander D. 82 1979 Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality. Zbl 0417.49029Ioffe, A. D. 81 1979 Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001Ioffe, Alexander D. 77 2017 Proximal analysis and approximate subdifferentials. Zbl 0725.46045Ioffe, A. D. 67 1990 Duality of convex functions and extremum problems. Zbl 0191.13101Ioffe, A. D.; Tikhomirov, V. M. 63 1968 Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps. Zbl 0542.46023Joffe, A. D. 59 1984 Extension of variational problems. Zbl 0194.13902Ioffe, A. D.; Tikhomirov, V. M. 51 1968 Approximate subdifferentials and applications. II. Zbl 0601.49008Ioffe, A. D. 49 1986 Transversality and alternating projections for nonconvex sets. Zbl 1338.49057Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 46 2015 Subdifferentials of convex functions. Zbl 0281.46039Ioffe, A. D.; Levin, V. L. 44 1974 On the local surjection property. Zbl 0642.49010Ioffe, A. D. 40 1987 An invitation to tame optimization. Zbl 1182.90083Ioffe, A. D. 38 2009 Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018Ioffe, A.; Schwartzman, E. 36 1996 Necessary conditions in nonsmooth optimization. Zbl 0548.90088Ioffe, A. D. 29 1984 Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024Ioffe, Alexander 29 1997 Metric regularity – a survey. I: Theory. Zbl 1369.49001Ioffe, A. D. 29 2016 Nonlinear regularity models. Zbl 1275.47106Ioffe, Alexander D. 27 2013 Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014Ioffe, Alexander 26 2000 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015Ioffe, A. D.; Rockafellar, R. T. 24 1996 On the theory of subdifferentials. Zbl 1277.49019Ioffe, Alexander D. 23 2012 On lower semicontinuity of integral functionals. II. Zbl 0379.46022Ioffe, A. D. 23 1977 Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023Ioffe, Alexander D.; Zaslavski, Alexander J. 21 2000 A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints. Zbl 0782.90095Ioffe, Alexander 20 1993 Regularity on a fixed set. Zbl 1275.49028Ioffe, A. D. 18 2011 Necessary and sufficient conditions for a local minimum. 2: Conditions of Levitin-Miljutin-Osmolovskii type. Zbl 0417.49028Ioffe, A. D. 18 1979 Theorie der Extremalaufgaben. Übersetzung aus dem Russischen von Bernd Luderer. Zbl 0403.49001Ioffe, A. D.; Tikhomirov, V. M. 17 1979 Metric regularity – a survey. II: Applications. Zbl 1369.49002Ioffe, A. D. 17 2016 Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026Ioffe, A. D. 16 2010 Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006Ioffe, A. 16 2006 Subdifferentiability spaces and nonsmooth analysis. Zbl 0554.58008Ioffe, A. D. 15 1984 Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021Drusvyatskiy, D.; Ioffe, A. D. 15 2015 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 15 1995 Proximal analysis in smooth spaces. Zbl 0858.49015Borwein, Jonathan M.; Ioffe, Alexander 15 1996 Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009Ioffe, Alexander 15 1998 Sous-différentielles approchees de fonctions numériques. Zbl 0482.46029Ioffe, Alexandre D. 13 1981 Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015Ioffe, A. D. 13 2008 On regularity concepts in variational analysis. Zbl 1205.49023Ioffe, A. D. 13 2010 Curves of descent. Zbl 1345.26027Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 12 2015 Variational analysis of a composite function: A formula for the lower second order epi-derivative. Zbl 0778.49021Ioffe, Alexander 11 1991 Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012Ioffe, Alexander D.; Penot, Jean-Paul 11 1997 Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018Ioffe, Alexander D.; Penot, Jean-Paul 11 1996 Regularity estimates for convex multifunctions. Zbl 1157.49026Ioffe, A. D.; Sekiguchi, Y. 11 2009 A note on subdifferentials of pointwise suprema. Zbl 1258.49016Ioffe, A. D. 11 2012 Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. 11 2004 Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 10 2021 Typical convex program is very well posed. Zbl 1082.49030Ioffe, A.; Lucchetti, R. E. 10 2005 Subdifferentiale konvexer Funktionen. Zbl 0257.46042Ioffe, A. D.; Levin, V. L. 10 1972 On subdifferentiability spaces. Zbl 0599.46065Ioffe, Aleksandr D. 10 1983 A Sard theorem for tame set-valued mappings. Zbl 1121.49016Ioffe, A. 10 2007 The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 10 2012 On perturbation stability of metric regularity. Zbl 1005.47045Ioffe, Alexander D. 10 2001 Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S. 9 2016 On primal regularity estimates for single-valued mappings. Zbl 1327.49030Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D. 8 2015 Global surjection and global inverse mapping theorems in Banach spaces. Zbl 0709.47054Ioffe, A. D. 8 1987 Différentielles généralisées d’applications localement lipschitziennes d’un espace de Banach dans un autre. Zbl 0421.46039Ioffe, Alexandre D. 8 1979 On robustness of the regularity property of maps. Zbl 1127.49023Ioffe, Alexander D. 8 2003 On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105Ioffe, Alexander 8 1994 Transversality in variational analysis. Zbl 1382.49014Ioffe, Alexander D. 7 2017 A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties. Zbl 0469.46005Ioffe, A. D. 7 1981 Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010Ioffe, A. 7 2006 Some remarks on variational principles. Zbl 0928.49013Ioffe, A. D.; Tikhomirov, V. M. 7 1997 Towards metric theory of metric regularity. Zbl 0986.54039Ioffe, Alexander 7 2001 Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042Ioffe, Alexander D. 6 2014 On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036Ioffe, Alexander 6 2007 On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027Ioffe, Alexander D. 6 2019 On the theory of subdifferential. Zbl 0604.49010Ioffe, A. D. 6 1986 Single-valued representation of set-valued mappings. II: Application to differential inclusions. Zbl 0539.49009Ioffe, A. D. 6 1983 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 6 1995 Theorie der Extremalprobleme. (Teorija ekstremal’nyh zadac.). Zbl 0292.90042Ioffe, A. D.; Tikhomirov, V. M. 6 1974 An existence theorem for a general Bolza problem. Zbl 0341.49004Ioffe, A. D. 6 1976 Survey of measurable selection theorems: Russian literature supplement. Zbl 0382.28004Ioffe, A. D. 6 1978 Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012Fabian, Marián; Ioffe, Alexander 6 2016 A variational principle for problems with functional constraints. Zbl 1023.49021Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. 6 2001 Abstract convexity and non-smooth analysis. Zbl 1063.49016Ioffe, A. D. 6 2001 On stability estimates for the regularity property of maps. Zbl 1054.58006Ioffe, A. D. 6 2003 On variational inequalities over polyhedral sets. Zbl 1391.49014Ioffe, Alexander D. 5 2018 Variational analysis and mathematical economics. II: Nonsmooth regular economies. Zbl 1216.91008Ioffe, A. D. 5 2011 Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018Ioffe, Alexander 5 1999 Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S. 5 2015 The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022Ginsburg, Boris; Ioffe, Alexander 5 1996 An existence theorem for problems of the calculus of variations. Zbl 0275.49009Ioffe, A. D. 5 1972 Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027Ioffe, A. D. 5 2005 Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115Ioffe, Alexander 5 2006 Exact formulae for regularity estimates. Zbl 1193.49014Ioffe, Alexander D.; Sekiguchi, Yoshiyuki 4 2007 On minimization of integral functionals. Zbl 0193.07603Ioffe, A. D.; Tikhomirov, V. M. 4 1969 Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016Fabian, Marián; Ioffe, Alexander 4 2013 Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023Ioffe, A. D.; Rubinov, A. M. 4 2002 On necessary conditions in variable end-time optimal control problems. Zbl 1167.49315Ioffe, A. 3 2005 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander 3 1992 Metric critical point theory. II. Deformation techniques. Zbl 0897.58008Ioffe, A.; Schwartzman, E. 3 1997 Absolutely continuous subgradients of nonconvex integral functionals. Zbl 0612.49013Ioffe, A. D. 3 1987 Directional compactness, scalarization and nonsmooth semi-Fredholm mappings. Zbl 0912.46004Ioffe, A. D. 3 1997 Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 10 2021 Towards the theory of strong minimum in calculus of variations and optimal control: a view from variational analysis. Zbl 1436.49026Ioffe, Alexander D. 2 2020 On generalized Bolza problem and its application to dynamic optimization. Zbl 1420.49027Ioffe, Alexander D. 6 2019 On variational inequalities over polyhedral sets. Zbl 1391.49014Ioffe, Alexander D. 5 2018 Separable reduction of local metric regularity. Zbl 1457.58004Fabian, M.; Ioffe, A. D.; Revalski, J. 2 2018 Metric regularity, polyhedrality and complementarity. Zbl 1392.49011Ioffe, Alexander D. 1 2018 Variational analysis of regular mappings. Theory and applications. Zbl 1381.49001Ioffe, Alexander D. 77 2017 Transversality in variational analysis. Zbl 1382.49014Ioffe, Alexander D. 7 2017 Implicit functions: a metric theory. Zbl 1383.49027Ioffe, Alexander D. 1 2017 Metric regularity – a survey. I: Theory. Zbl 1369.49001Ioffe, A. D. 29 2016 Metric regularity – a survey. II: Applications. Zbl 1369.49002Ioffe, A. D. 17 2016 Generic minimizing behavior in semialgebraic optimization. Zbl 1334.49057Drusvyatskiy, D.; Ioffe, A. D.; Lewis, Adrian S. 9 2016 Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012Fabian, Marián; Ioffe, Alexander 6 2016 On necessary conditions for a minimum. Zbl 1350.49029Ioffe, Alexander D. 1 2016 Transversality and alternating projections for nonconvex sets. Zbl 1338.49057Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 46 2015 Quadratic growth and critical point stability of semi-algebraic functions. Zbl 1325.49021Drusvyatskiy, D.; Ioffe, A. D. 15 2015 Curves of descent. Zbl 1345.26027Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 12 2015 On primal regularity estimates for single-valued mappings. Zbl 1327.49030Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D. 8 2015 Clarke subgradients for directionally Lipschitzian stratifiable functions. Zbl 1315.49002Drusvyatskiy, Dmitriy; Ioffe, Alexander D.; Lewis, Adrian S. 5 2015 Metric regularity, fixed points and some associated problems of variational analysis. Zbl 1311.49042Ioffe, Alexander D. 6 2014 Separable reduction of metric regularity properties. Zbl 1282.49012Ioffe, A. D. 2 2014 Nonlinear regularity models. Zbl 1275.47106Ioffe, Alexander D. 27 2013 Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016Fabian, Marián; Ioffe, Alexander 4 2013 Convexity and variational analysis. Zbl 1305.90399Ioffe, A. D. 2 2013 On the theory of subdifferentials. Zbl 1277.49019Ioffe, Alexander D. 23 2012 A note on subdifferentials of pointwise suprema. Zbl 1258.49016Ioffe, A. D. 11 2012 The dimension of semialgebraic subdifferential graphs. Zbl 1236.49039Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S. 10 2012 Regularity on a fixed set. Zbl 1275.49028Ioffe, A. D. 18 2011 Variational analysis and mathematical economics. II: Nonsmooth regular economies. Zbl 1216.91008Ioffe, A. D. 5 2011 Separable reduction revisited. Zbl 1216.49017Ioffe, A. D. 3 2011 Towards variational analysis in metric spaces: metric regularity and fixed points. Zbl 1190.49026Ioffe, A. D. 16 2010 On regularity concepts in variational analysis. Zbl 1205.49023Ioffe, A. D. 13 2010 The principle of Lagrange and critical values of optimization problems. Zbl 1357.49077Ioffe, A. D. 2 2010 Typical convexity (concavity) of Dini-Hadamard upper (lower) directional derivatives of functions on separable Banach spaces. Zbl 1208.46043Ioffe, A. 2 2010 An invitation to tame optimization. Zbl 1182.90083Ioffe, A. D. 38 2009 Regularity estimates for convex multifunctions. Zbl 1157.49026Ioffe, A. D.; Sekiguchi, Y. 11 2009 Variational analysis and mathematical economics. I: Subdifferential calculus and the second theorem of welfare economics. Zbl 1230.91047Ioffe, A. D. 3 2009 On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013Ioffe, Alexander D.; Outrata, Jiří V. 88 2008 Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems. Zbl 1191.49015Ioffe, A. D. 13 2008 On regularity of convex multifunctions. Zbl 1146.49024Ioffe, A. D. 1 2008 Critical points of simple functions. Zbl 1220.49009Ioffe, A. D.; Lewis, A. S. 1 2008 A Sard theorem for tame set-valued mappings. Zbl 1121.49016Ioffe, A. 10 2007 On regularity estimates for mappings between embedded manifolds. Zbl 1168.49036Ioffe, Alexander 6 2007 Exact formulae for regularity estimates. Zbl 1193.49014Ioffe, Alexander D.; Sekiguchi, Yoshiyuki 4 2007 Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006Ioffe, A. 16 2006 Three theorems on subdifferentiation of convex integral functionals. Zbl 1139.26010Ioffe, A. 7 2006 Variational problem associated with a model of welfare economics with a measure spaces of agents. Zbl 1194.91115Ioffe, Alexander 5 2006 Typical convex program is very well posed. Zbl 1082.49030Ioffe, A.; Lucchetti, R. E. 10 2005 Optimality alternative: a non-variational approach to necessary conditions. Zbl 1113.49027Ioffe, A. D. 5 2005 On necessary conditions in variable end-time optimal control problems. Zbl 1167.49315Ioffe, A. 3 2005 Generic well-posedness in minimization problems. Zbl 1099.49023Ioffe, A.; Lucchetti, R. E. 3 2005 Almost every convex or quadratic programming problem is well posed. Zbl 1082.49031Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. 11 2004 On robustness of the regularity property of maps. Zbl 1127.49023Ioffe, Alexander D. 8 2003 On stability estimates for the regularity property of maps. Zbl 1054.58006Ioffe, A. D. 6 2003 Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023Ioffe, A. D.; Rubinov, A. M. 4 2002 Convergence and extensions of variational problems with non-coercive functionals. Zbl 1125.49303Ioffe, Alexander D. 1 2002 On a characterization of \(C^{1,1}\) functions. Zbl 1029.49017Ioffe, A.; Miłosz, T. 1 2002 On perturbation stability of metric regularity. Zbl 1005.47045Ioffe, Alexander D. 10 2001 Towards metric theory of metric regularity. Zbl 0986.54039Ioffe, Alexander 7 2001 A variational principle for problems with functional constraints. Zbl 1023.49021Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. 6 2001 Abstract convexity and non-smooth analysis. Zbl 1063.49016Ioffe, A. D. 6 2001 Metric regularity and subdifferential calculus. Zbl 0979.49017Ioffe, A. D. 197 2000 Codirectional compactness, metric regularity and subdifferential calculus. Zbl 0966.49014Ioffe, Alexander 26 2000 Variational principles and well-posedness in optimization and calculus of variations. Zbl 0997.49023Ioffe, Alexander D.; Zaslavski, Alexander J. 21 2000 Generic existence, uniqueness and stability in optimization problems. Zbl 0972.90090Ioffe, Alexander; Lucchetti, Roberto 1 2000 Variational methods in local and global non-smooth analysis. Notes by Igor Zelenko. Zbl 0940.49018Ioffe, Alexander 5 1999 Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009Ioffe, Alexander 15 1998 Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Zbl 0876.49024Ioffe, Alexander 29 1997 Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012Ioffe, Alexander D.; Penot, Jean-Paul 11 1997 Some remarks on variational principles. Zbl 0928.49013Ioffe, A. D.; Tikhomirov, V. M. 7 1997 Metric critical point theory. II. Deformation techniques. Zbl 0897.58008Ioffe, A.; Schwartzman, E. 3 1997 Directional compactness, scalarization and nonsmooth semi-Fredholm mappings. Zbl 0912.46004Ioffe, A. D. 3 1997 An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces. Zbl 0885.58012Ioffe, Alexander; Schwartzman, Efim 2 1997 Metric critical point theory. I: Morse regularity and homotopic stability of a minimum. Zbl 0852.58018Ioffe, A.; Schwartzman, E. 36 1996 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015Ioffe, A. D.; Rockafellar, R. T. 24 1996 Proximal analysis in smooth spaces. Zbl 0858.49015Borwein, Jonathan M.; Ioffe, Alexander 15 1996 Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018Ioffe, Alexander D.; Penot, Jean-Paul 11 1996 The maximum principle in optimal control of systems governed by semilinear equations. Zbl 0887.49022Ginsburg, Boris; Ioffe, Alexander 5 1996 Non-smooth subdifferentials: Their calculus and applications. Zbl 0854.49016Ioffe, A. D. 1 1996 Separable reduction theorem for approximate subdifferentials. Zbl 0856.49014Ioffe, Alexander 1 1996 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 15 1995 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 6 1995 Limiting subjets and their calculus. Zbl 0856.49013Ioffe, Alexander; Penot, Jean-Paul 1 1995 On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization. Zbl 0820.90105Ioffe, Alexander 8 1994 A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints. Zbl 0782.90095Ioffe, Alexander 20 1993 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, 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 0778.49021Ioffe, Alexander 11 1991 Proximal analysis and approximate subdifferentials. Zbl 0725.46045Ioffe, A. D. 67 1990 Composite optimization: Second order conditions, value functions and sensitivity. Zbl 0708.90080Ioffe, Alexander 2 1990 Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022Ioffe, A. D. 88 1989 On the local surjection property. Zbl 0642.49010Ioffe, A. D. 40 1987 Global surjection and global inverse mapping theorems in Banach spaces. Zbl 0709.47054Ioffe, A. D. 8 1987 Absolutely continuous subgradients of nonconvex integral functionals. Zbl 0612.49013Ioffe, A. D. 3 1987 Approximate subdifferentials and applications. II. Zbl 0601.49008Ioffe, A. D. 49 1986 On the theory of subdifferential. Zbl 0604.49010Ioffe, A. D. 6 1986 Approximate subdifferentials and applications. I: The finite dimensional theory. Zbl 0531.49014Ioffe, A. D. 95 1984 Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps. Zbl 0542.46023Joffe, A. D. 59 1984 Necessary conditions in nonsmooth optimization. Zbl 0548.90088Ioffe, A. D. 29 1984 Subdifferentiability spaces and nonsmooth analysis. Zbl 0554.58008Ioffe, A. D. 15 1984 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,376 Authors 48 Ioffe, Alexander Davidovich 46 Mordukhovich, Boris S. 42 Kruger, Alexander Y. 38 Penot, Jean-Paul 30 Thibault, Lionel 29 Jourani, Abderrahim 28 López-Cerdá, Marco Antonio 28 Yao, Jen-Chih 21 Phan Quôc Khánh 21 Yang, Xiaoqi 19 Drusvyatskiy, Dmitriy 19 Outrata, Jiří V. 18 Huynh Van Ngai 18 Théra, Michel A. 17 Cánovas, María Josefa 17 Parra, Juan 17 Zaslavski, Alexander Yakovlevich 16 Borwein, Jonathan Michael 16 Cibulka, Radek 16 Dontchev, Asen L. 16 Zheng, Xiyin 15 Hantoute, Abderrahim 14 Lewis, Adrian S. 14 Rossi, Riccarda 13 Arutyunov, Aram Vladimirovic 13 Degiovanni, Marco 13 Phạm Tiên So’n 12 Correa, Rafael 12 Geoffroy, Michel H. 12 Ng, Kung-Fu 12 Nguyen Thi Toan 12 Thao, Nguyen Hieu 12 Uderzo, Amos 12 Ye, Jane J. 11 Durea, Marius 11 Nguyen Dong Yen 10 Frankowska, Hélène 10 Lassonde, Marc 10 Páles, Zsolt 10 Shapiro, Alexander 10 Strugariu, Radu 10 Tröltzsch, Fredi 10 Vinter, Richard B. 10 Wang, Shawn Xianfu 9 Balder, Erik J. 9 Dolgopolik, Maxim Vladimirovich 9 Fabian, Marián J. 9 Gfrerer, Helmut 9 Tret’yakov, Alexey A. 9 Wang, Bingwu 8 Bounkhel, Messaoud 8 Chikriĭ, Arkadiĭ Alekseevich 8 Cuong, Nguyen Duy 8 Eberhard, Andrew C. 8 Gaydu, Michaël 8 Henrion, René 8 Kien, Bui Trong 8 Klatte, Diethard 8 Liu, Jiaquan 8 Rockafellar, Ralph Tyrrell 8 Thai Doan Chuong 8 Tolstonogov, Aleksandr Aleksandrovich 8 Zhu, Jiangxing 7 Anh, Lam Quoc 7 Azé, Dominique 7 Bui, Hoa T. 7 Corvellec, Jean-Noël 7 Daniilidis, Aris 7 Lee, Gue Myung 7 Li, Chong 7 Li, Shengjie 7 Meng, Kaiwen 7 Nam, Nguyen Mau 7 Papageorgiou, Nikolaos S. 7 Pickenhain, Sabine 7 Ribarska, Nadezhda K. 7 Roshchina, Vera 7 Schimperna, Giulio 7 Seeger, Alberto 7 Shao, Yongheng 7 Thuy, Le Quang 7 Tung, Nguyen Minh 7 Visintin, Augusto 7 Wei, Zhou 7 Zeidan, Vera Michel 7 Zhang, Binbin 7 Zlateva, Nadia P. 6 Adam, Lukáš 6 Amahroq, Tijani 6 Buttazzo, Giuseppe 6 Casas, Eduardo 6 Červinka, Michal 6 Clarke, Francis H. 6 Demyanov, Vladimir Fedorovich 6 Dinh The Luc 6 Hoàng Xuân Phù 6 Jeyakumar, Vaithilingam 6 Krastanov, Mikhail Ivanov 6 Kummer, Bernd 6 Ledyaev, Yuri Semenovich ...and 1,276 more Authors all top 5 Cited in 248 Serials 164 Journal of Optimization Theory and Applications 113 Journal of Mathematical Analysis and Applications 93 Set-Valued and Variational Analysis 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 80 Mathematical Programming. Series A. Series B 64 Optimization 59 SIAM Journal on Optimization 48 Nonlinear Analysis. Theory, Methods & Applications 44 Journal of Global Optimization 33 Set-Valued Analysis 30 Vietnam Journal of Mathematics 29 Transactions of the American Mathematical Society 29 Journal of Convex Analysis 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Numerical Functional Analysis and Optimization 22 Optimization Letters 21 Journal of Differential Equations 21 Proceedings of the American Mathematical Society 20 Mathematical Notes 19 Applied Mathematics and Optimization 17 Journal of Applied Mathematics and Mechanics 16 Positivity 15 Mathematics of Operations Research 14 SIAM Journal on Control 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 Siberian Mathematical Journal 11 Calculus of Variations and Partial Differential Equations 11 Journal of Fixed Point Theory and Applications 10 Bulletin of the Australian Mathematical Society 10 Computational Optimization and Applications 9 Journal of Functional Analysis 9 Discrete and Continuous Dynamical Systems 9 Proceedings of the Steklov Institute of Mathematics 8 Systems & Control Letters 7 Applicable Analysis 7 Top 6 Journal of Mathematical Economics 6 Journal of Inequalities and Applications 5 Ukrainian Mathematical Journal 5 Acta Mathematica Vietnamica 5 Journal of Approximation Theory 5 Journal of Computational and Applied Mathematics 5 Journal of Soviet Mathematics 5 Kybernetika 5 Acta Applicandae Mathematicae 5 Computational Mathematics and Modeling 5 Annals of Operations Research 5 European Journal of Operational Research 5 SIAM Journal on Mathematical Analysis 5 Economic Theory 5 Abstract and Applied Analysis 5 Taiwanese Journal of Mathematics 5 Foundations of Computational Mathematics 4 Archive for Rational Mechanics and Analysis 4 Applied Mathematics and Computation 4 Numerische Mathematik 4 Proceedings of the Japan Academy. Series A 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Numerical Mathematics 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Linear Algebra and its Applications 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Computers & Mathematics with Applications 3 International Journal of Control 3 Inverse Problems 3 Advances in Mathematics 3 Archiv der Mathematik 3 Automatica 3 Journal of Economic Theory 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 Applied Mathematics Letters 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Automation and Remote Control 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Russian Mathematics 3 Theory of Probability and Mathematical Statistics 3 Journal of Applied Analysis 3 Optimization Methods & Software 3 Mathematical Methods of Operations Research 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Dynamical and Control Systems 3 RAIRO. Operations Research 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of the Australian Mathematical Society 3 Journal of Industrial and Management Optimization 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Journal of the Operations Research Society of China 3 Vestnik Rossiĭskikh Universitetov. Matematika ...and 148 more Serials all top 5 Cited in 49 Fields 1,089 Calculus of variations and optimal control; optimization (49-XX) 751 Operations research, mathematical programming (90-XX) 186 Functional analysis (46-XX) 162 Global analysis, analysis on manifolds (58-XX) 160 Operator theory (47-XX) 144 Numerical analysis (65-XX) 125 Real functions (26-XX) 125 Partial differential equations (35-XX) 93 General topology (54-XX) 92 Systems theory; control (93-XX) 75 Ordinary differential equations (34-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Measure and integration (28-XX) 38 Mechanics of deformable solids (74-XX) 34 Convex and discrete geometry (52-XX) 25 Probability theory and stochastic processes (60-XX) 23 Approximations and expansions (41-XX) 21 Statistics (62-XX) 14 Algebraic geometry (14-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Mathematical logic and foundations (03-XX) 13 Mechanics of particles and systems (70-XX) 12 Information and communication theory, circuits (94-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Fluid mechanics (76-XX) 9 Computer science (68-XX) 8 Integral equations (45-XX) 7 Difference and functional equations (39-XX) 7 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.