Almost Every Convex or Quadratic Programming Problem Is Well Posed
Published Online:1 May 2004https://doi.org/10.1287/moor.1030.0080
References
- Densely defined selections of multivalued mappings. Trans. Amer. Math. Soc. (1994) 344:533–552Crossref, Google Scholar
- Topological spaces related to the Banach-Mazur game and generic properties of optimization problems. Set-Valued Anal. (1995) 3:263–279Crossref, Google Scholar
- Porous sets in best approximation theory. J. London Math. Soc. (1991) 44:135–142Crossref, Google Scholar
- Porosity of ill-posed problems. Proc. Amer. Math. Soc. (2000) 128:1117–1124Crossref, Google Scholar
- Smoothness and renormings in Banach spaces. Pitman Monographs and Surveys in Pure and Appl. Math. (1991) (Longman Group UK Limited, London, U.K.) Google Scholar
- Well-posed optimization problems. Lectures Notes in Mathematics, No. 1543 (1993) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
- , Di Pillo G., Giannessi F. Generic existence, uniqueness and stability in optimization. Nonlinear Optimization and Related Topics (2000) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 169–182Crossref, Google Scholar
- Variational principles and well-posedness in optimization and calculus of variations. SIAM J. Control Optim. (2000) 38:566–581Crossref, Google Scholar
- A variational principle for problems with functional constraints. SIAM J. Optim. (2001) 12:461–478Crossref, Google Scholar
- , Lucchetti R., Revalski J. P. Generic well-posedness of optimization problems and the Banach-Mazur game. Recent Developments in Well-Posed Variational Problems. Mathematics and Its Applications (1995) 331(Kluwer Academic Publishers, Dordrecht, The Netherlands) 117–136Crossref, Google Scholar
- , Fiacco A. V. On well-posedness and stability analysis in optimization. Mathematical Programming with Data Perturbations (1997) (M. Dekker, New York) 223–252Google Scholar
- Porosity and variational principles. Serdica Math. J. (2002) 28:37–46Google Scholar
- Generic properties in some classes of optimization problems. Acta. Univ. Carolinae Math. Phys. (1987) 28:117–125Google Scholar
- The generic nature of optimality conditions in nonlinear programming. Math. Oper. Res. (1979) 4:425–430Link, Google Scholar
- A measure on the space of compact subsets in Rn and its application to some classes of optimization problems. C. R. Acad. Bulgarian Sci. (1989) 42:29–31Google Scholar
- Porosity and σ-porosity. Real Anal. Exchange (1987–88) 13:314–350Google Scholar
- Wellposedness criteria in optimization with application to the calculus of variations. Nonlinear Anal. Theory Methods Appl. (1995) 25:437–453Crossref, Google Scholar
- Extended well-posedness of optimization problems. J. Optim. Theory Appl. (1996) 91:257–268Crossref, Google Scholar

