Lagrange Multipliers and Calmness Conditions of Order p
Published Online:1 Feb 2007https://doi.org/10.1287/moor.1060.0217
References
- Nonlinear Programming (1993) 2nd ed.(Wiley, New York) Google Scholar
- Pseudonormality and a Lagrange multiplier theory for constrained optimization. J. Optim. Theory Appl. (2002) 114:287–343Crossref, Google Scholar
- Calmness and exact penalization. SIAM J. Control Optim. (1991) 29:493–497Crossref, Google Scholar
- An exact penalization viewpoint of constrained optimization. SIAM J. Control Optim. (1991) 29:968–998Crossref, Google Scholar
- Optimization and Nonsmooth Analysis (1983) (John Wiley & Sons, New York) Google Scholar
- A generalized second-order derivative in nonsmooth optimization. SIAM J. Control Optim. (1990) 28:789–809Crossref, Google Scholar
- The penalty method in convex programming. Soviet Math. Dokl. (1966) 8:459–462Google Scholar
- Practical Methods of Optimization (2003) 2nd ed.(Wiley, New York) Google Scholar
- A unified augmented Lagrangian approach to duality and exact penalization. Math. Oper. Res. (2003) 28:533–552Link, Google Scholar
- Mathematical Programs with Equilibrium Constraints (1996) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
- Error bounds in mathematical programming. Math. Programming (1997) 79:299–332Crossref, Google Scholar
- Variational Analysis (1998) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
- Lagrange-Type Functions in Constrained Non-Convex Optimization (2003) (Kluwer Academic Publishers, Dordrecht, The Netherlands) Crossref, Google Scholar
- The zero duality gap property and lower semicontinuity of the perturbation function. Math. Oper. Res. (2002) 27:775–791Link, Google Scholar
- On relations and applications of generalized second-order directional derivatives. Nonlinear Anal.—Theory, Method Appl. (1999) 36:595–614Crossref, Google Scholar
- Nonlinear programming via penalty functions. Management Sci. (1967) 13:344–358Link, Google Scholar
