A comparative study of multifunction differentiability with applications in mathematical programming

作者: A. Auslender , R. Cominetti

DOI: 10.1287/MOOR.16.2.240

关键词:

摘要: A unified treatment of various notions tangency for sets and differentiability multifunctions is presented. These results are then applied to study first second order properties metric projections some applications in mathematical programming.

参考文章(13)
Ivar Ekeland, Jean Pierre Aubin, Applied Nonlinear Analysis ,(1984)
Roberto Cominetti, Metric regularity, tangent sets, and second-order optimality conditions Applied Mathematics and Optimization. ,vol. 21, pp. 265- 287 ,(1990) , 10.1007/BF01445166
R.Tyrrell Rockafellar, Lipschitzian properties of multifunctions Nonlinear Analysis-theory Methods & Applications. ,vol. 9, pp. 867- 885 ,(1985) , 10.1016/0362-546X(85)90024-0
Jean-Paul Penot, Differentiability of Relations and Differential Stability of Perturbed Optimization Problems SIAM Journal on Control and Optimization. ,vol. 22, pp. 529- 551 ,(1984) , 10.1137/0322033
Stephen M. Robinson, Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems SIAM Journal on Numerical Analysis. ,vol. 13, pp. 497- 513 ,(1976) , 10.1137/0713043
Alexander Shapiro, Directional differentiability of metric projections onto moving sets at boundary points Journal of Mathematical Analysis and Applications. ,vol. 131, pp. 392- 403 ,(1988) , 10.1016/0022-247X(88)90213-2
V. F. Demyanov, C. Lemar�chal, J. Zowe, Approximation to a set-valued mapping, I: A proposal Applied Mathematics and Optimization. ,vol. 14, pp. 203- 214 ,(1986) , 10.1007/BF01442236
Alberto Seeger, Second order directional derviatives in parametric optimization problems Mathematics of Operations Research. ,vol. 13, pp. 124- 139 ,(1988) , 10.1287/MOOR.13.1.124