Variational Stability and Marginal Functions via Generalized Differentiation
Published Online:1 Nov 2005https://doi.org/10.1287/moor.1050.0147
References
- Lipschitz behavior of solutions to convex minimization problems. Math. Oper. Res. (1984) 9:87–111Link, Google Scholar
- Perturbation Analysis of Optimization Problems (2000) (Springer, New York) Crossref, Google Scholar
- Tangential approximations. Nonlinear Anal. (1985) 9:1347–1366Crossref, Google Scholar
- Techniques of Variational Analysis. An Introduction (2005) (Springer, New York) Google Scholar
- Nonsmooth Analysis and Control Theory (1998) (Springer, New York) Google Scholar
- The radius of metric regularity. Trans. Amer. Math. Soc. (2003) 355:493–517Crossref, Google Scholar
- Finite-Dimensional Variational Inequalities and Complementarity Problems: Volumes I and II (2003) (Springer, New York) Google Scholar
- , Théra M. Codirectional compactness, metric regularity and subdifferential calculus. Constructive, Experimental and Nonlinear Analysis (2000) (American Mathematical Society, Providence, RI) 123–164Google Scholar
- Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Serdica Math. J. (1996) 22:359–384Google Scholar
- Qualification conditions for calculus rules of coderivatives of multivalued mappings. J. Math. Anal. Appl. (1998) 218:66–81Crossref, Google Scholar
- Coderivatives of multivalued mappings, locally compact cones and metric regularity. Nonlinear Anal. (1999) 35:925–945Crossref, Google Scholar
- Coderivatives in parametric optimization. Math. Progr., Ser. A (2004) 99:311–327Crossref, Google Scholar
- Maximum principle in problems of time optimal control with nonsmooth constraints. J. Appl. Math. Mech. (1976) 40:960–969Crossref, Google Scholar
- Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems. Soviet Math. Dokl. (1980) 40:526–530Google Scholar
- Complete characterizations of openness, metric regularity, and Lipschitzian properties of multifunctions. Trans. Amer. Math. Soc. (1993) 340:1–36Crossref, Google Scholar
- Generalized differential calculus for nonsmooth and set-valued mappings. J. Math. Anal. Appl. (1994) 183:250–288Crossref, Google Scholar
- Coderivatives of set-valued mappings: Calculus and applications. Nonlinear Anal. (1997) 30:3059–3070Crossref, Google Scholar
- Coderivative analysis of variational systems. J. Global Optim. (2004) 28:347–362Crossref, Google Scholar
- Variational Analysis and Generalized Differentiation, Vol. I: Basic Theory, Vol. II: Applications (2005) (Springer, Berlin, Germany) . ForthcomingGoogle Scholar
- Subgradients of distance functions with applications to Lipschitzian stability. Math. Progr., Ser. B.ForthcomingGoogle Scholar
- Nonsmooth sequential analysis in Asplund spaces. Trans. Amer. Math. Soc. (1996a) 348:1235–1280Crossref, Google Scholar
- Nonconvex differential calculus for infinite-dimensional multifunctions. Set-Valued Anal. (1996b) 4:205–236Crossref, Google Scholar
- Fuzzy calculus for coderivatives of multifunctions. Nonlinear Anal. (1997) 29:605–626Crossref, Google Scholar
- Mixed coderivatives of set-valued mappings in variational analysis. J. Appl. Anal. (1998) 4:269–294Crossref, Google Scholar
- Viscosity coderivatives and their limiting behavior in smooth Banach spaces. Positivity (2000) 4:1–39Crossref, Google Scholar
- Calculus of sequential normal compactness in variational analysis. J. Math. Anal. Appl. (2003) 282:63–84Crossref, Google Scholar
- Optimality conditions for a class of mathematical programs with equilibrium constraints. Math. Oper. Res. (1999) 24:627–644Link, Google Scholar
- Compactness properties, openness criteria and coderivatives. Set-Valued Anal. (1998) 6:363–380Crossref, Google Scholar
- Convex Functions, Monotone Operators and Differentiability (1993) 2nd ed.(Springer, Berlin, Germany) Google Scholar
- Constraint nondegeneracy in variational analysis. Math. Oper. Res. (2003) 28:201–232Link, Google Scholar
- Proximal subgradients, marginal values and augmented Lagrangians in nonconvex optimization. Math. Oper. Res. (1981) 6:424–436Link, Google Scholar
- Variational Analysis (1998) (Springer, Berlin, Germany) Crossref, Google Scholar
- Subdifferentials of compactly Lipschitzian vector-valued functions. Ann. Mat. Pura Appl. (1980) 125:157–192Crossref, Google Scholar
- On subdifferentials of optimal value functions. SIAM J. Control Optim. (1991) 29:1019–1036Crossref, Google Scholar
- Lagrange multipliers for nonconvex generalized gradients with equality, inequality, and set constraints. SIAM J. Control Optim. (1999) 37:1313–1329Crossref, Google Scholar
- Optimal Control (2000) (Birkhäuser, Boston, MA) Google Scholar
- Necessary optimality conditions for optimization problems with variational inequality constraints. Math. Oper. Res. (1997) 22:977–997Link, Google Scholar
- Multiobjective optimization problems with variational inequality constraints. Math. Progr., Ser. A (2003) 96:139–160Crossref, Google Scholar

