Lipschitzian stability of constraint systems and generalized equations

[1]  O. Mangasarian,et al.  The Fritz John Necessary Optimality Conditions in the Presence of Equality and Inequality Constraints , 1967 .

[2]  C. Ursescu Multifunctions with convex closed graph , 1975 .

[3]  S. M. Robinson Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems , 1976 .

[4]  Stephen M. Robinson,et al.  Regularity and Stability for Convex Multivalued Functions , 1976, Math. Oper. Res..

[5]  S. M. Robinson Generalized equations and their solutions, Part I: Basic theory , 1979 .

[6]  J. B. Hiriart-Urruty,et al.  Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces , 1979, Math. Oper. Res..

[7]  Stephen M. Robinson,et al.  Strongly Regular Generalized Equations , 1980, Math. Oper. Res..

[8]  Lionel Thibault,et al.  Subdifferentials of compactly lipschitzian vector-valued functions , 1980 .

[9]  R. Rockafellar The theory of subgradients and its applications to problems of optimization : convex and nonconvex functions , 1981 .

[10]  R. Tyrrell Rockafellar,et al.  Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization , 1981, Math. Oper. Res..

[11]  A. Ioffe Nonsmooth analysis: differential calculus of nondifferentiable mappings , 1981 .

[12]  P. Lions,et al.  Viscosity solutions of Hamilton-Jacobi equations , 1983 .

[13]  F. Clarke Optimization And Nonsmooth Analysis , 1983 .

[14]  Alfred Auslender,et al.  Stability in Mathematical Programming with Nondifferentiable Data , 1984 .

[15]  A. Ioffe Approximate subdifferentials and applications. I. The finite-dimensional theory , 1984 .

[16]  Jean-Pierre Aubin,et al.  Lipschitz Behavior of Solutions to Convex Minimization Problems , 1984, Math. Oper. Res..

[17]  J. Aubin,et al.  Applied Nonlinear Analysis , 1984 .

[18]  R. Rockafellar,et al.  Maximal monotone relations and the second derivatives of nonsmooth functions , 1985 .

[19]  R. Rockafellar Extensions of subgradient calculus with applications to optimization , 1985 .

[20]  R. Rockafellar,et al.  Lipschitzian properties of multifunctions , 1985 .

[21]  J. Borwein Stability and regular points of inequality systems , 1986 .

[22]  Kazimierz Malanowski,et al.  Stability of solutions to convex problems of optimization , 1987 .

[23]  H. Frankowska An open mapping principle for set-valued maps , 1987 .

[24]  A. Kruger,et al.  A covering theorem for set-valued mappings , 1988 .

[25]  A. Shapiro Sensitivity analysis of nonlinear programs and differentiability properties of metric projections , 1988 .

[26]  S. Zlobec,et al.  Characterizing optimality in mathematical programming models , 1988 .

[27]  J. Borwein,et al.  Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps , 1988 .

[28]  J. Penot Metric regularity, openness and Lipschitzian behavior of multifunctions , 1989 .

[29]  F. Clarke Methods of dynamic and nonsmooth optimization , 1989 .

[30]  R. Cominetti Metric regularity, tangent sets, and second-order optimality conditions , 1990 .

[31]  Jerzy Kyparisis,et al.  Sensitivity analysis for variational inequalities and nonlinear complementarity problems , 1991 .

[32]  L. Thibault On subdifferential of optimal value functions , 1991 .

[33]  Stephen M. Robinson,et al.  An Implicit-Function Theorem for a Class of Nonsmooth Functions , 1991, Math. Oper. Res..

[34]  Bernd Kummer An implicit-function theorem for C0, 1-equations and parametric C1, 1-optimization , 1991 .

[35]  B. Mordukhovich Sensitivity analysis in nonsmooth optimization , 1992 .

[36]  R. Tyrrell Rockafellar,et al.  Sensitivity analysis for nonsmooth generalized equations , 1992, Math. Program..

[37]  W. Hager,et al.  Lipschitzian stability in nonlinear control and optimization , 1993 .

[38]  B. Mordukhovich Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions , 1993 .

[39]  Philip D. Loewen,et al.  Optimal Control of Unbounded Differential Inclusions , 1994, SIAM Journal on Control and Optimization.

[40]  E. Levitin Perturbation Theory in Mathematical Programming and Its Applications , 1994 .