Mathematics

• Hull-Volume with applications to convergence analysis in Journal of Optimization Theory and Applications 153 (2012), no. 3, 1--17.
• Constraint Incorporation in Optimization in Mathematical Programming, Series A 110 (2007), no. 3, 615--639.
• Supercalm multifunctions for convergence analysis in Set-Valued Anal. 14 (2006), no. 3, 249--261.
• Convergence of successive approximation methods with parameter target sets in Math. Oper. Res. 30 (2005), no. 3, 765--784.
• A generic algorithm for solving inclusions in SIAM Journal on Optimization 15 (2005), 430--455.
• Coderivatives in parametric optimization (with Boris S. Mordukhovich) in Math. Program., Ser. A 99 (2004), 311--327

My Optimization Textbook:	My Research Monograph:

Research Publications of Adam B. Levy

• Stationarity and convergence in reduce-or-retreat minimization. Springer Briefs in Optimization. Springer, New York, 2012.
• Hull-Volume with applications to convergence analysis in Journal of Optimization Theory and Applications 153 (2012), no. 3, 633--649.
• Constraint Incorporation in Optimization in Mathematical Programming, Series A 110 (2007), no. 3, 615--639.
• Supercalm multifunctions for convergence analysis in Set-Valued Anal. 14 (2006), no. 3, 249--261.
• Convergence of successive approximation methods with parameter target sets in Math. Oper. Res. 30 (2005), no. 3, 765--784.
• A generic algorithm for solving inclusions in SIAM Journal on Optimization 15 (2005), 430--455.
• Coderivatives in parametric optimization (with Boris S. Mordukhovich) in Math. Program., Ser. A 99 (2004), 311--327
• Scaled stability in variational problems in SIAM Journal on Optimization. 12 (2002), 861--874.
• Solution sensitivity from general principles in SIAM Journal on Control and Optimization, 40 (2001), 1--38.
• Second-order epi-derivatives of composite functionals in Annals of Operations Research, 101 (2001), 267--281.
• Lipschitzian multifunctions and a Lipschitzian inverse mapping theorem in Mathematics of Operations Research, 26 (2001), 105--118.
• Calm minima in parameterized finite-dimensional optimization in SIAM Journal on Optimization, 11 (2000), 160--178.
• Stability of locally optimal solutions (with R. Poliquin and R.T. Rockafellar) in SIAM Journal on Optimization, 10 (2000), 580-604.
• Sensitivity of solutions to variational inequalities on Banach spaces in SIAM Journal on Control and Optimization, 38 (1999), 50-60.
• Nonsingularity conditions for multifunctions in Set-Valued Analysis, 7 (1999), 89-99.
• Stability of solutions to parameterized nonlinear complementarity problems in Mathematical Programming, 85 (1999), 397-406.
• Convex composite functions in Banach spaces and the primal lower-nice property (with C. Combari, A. Elhilali Alaoui, R. Poliquin, and L. Thibault) in Proceedings of the American Mathematical Society , 126 (1998), 3701-3708.
• Characterizing the single-valuedness of multifunctions (with R. Poliquin) in Set-vlaued Analysis, 5 (1997), 351-364.
• Implicit multifunction theorems for the sensitivity analysis of variational conditions in Mathematical Programming , 74 (1996), 333-350. Errata
• Proto-derivatives and the geometry of solution mappings in nonlinear programming (with R. T. Rockafellar) in Nonlinear Optimization and Applications , pages 343-365. Plenum, 1996.
• Variational conditions and the proto-differentiation of partial subgradient mappings (with R. T. Rockafellar) in Nonlinear Analysis, Theory, Methods, and Applications , 26 (1995), 1951-1964.
• Sensitivity of solutions in nonlinear programming problems with nonunique multipliers (with R. T. Rockafellar), in D.-Z. Du, L. Qi, and R.S. Womersley, editors, Recent Advances in Nonsmooth Optimization , pages 215-223. World Scientific, 1995.
• Partial extensions of Attouch's theorem with application to proto-differentiability of subgradient mappings (with R. Poliquin and L. Thibault) in Transactions of the American Mathematical Society , 347 (1995), 1269-1294.
• Sensitivity analysis of solutions to generalized equations (with R. T. Rockafellar) in Transactions of the American Mathematical Society , 345 (1994), 661-671.
• Second-order epi-derivatives of integral functionals in Set-Valued Analysis , 1 (1993), 379-392.

MathSciNet reviews for most of the above »