Upper Lipschitz behavior of solutions to perturbed. C1,1 programs |
| |
Authors: | Diethard Klatte |
| |
Institution: | Institut für Operations Research, Universit?t Zürich, Moussonstrasse 15, CH-8044 Zürich, Switzerland, e-mail: klatte@ior.unizh.ch, CH
|
| |
Abstract: | We analyze the local upper Lipschitz behavior of critical points, stationary solutions and local minimizers to parametric
C
1,1 programs. In particular, we derive a characterization of this property for the stationary solution set map without assuming
the Mangasarian–Fromovitz CQ. Moreover, conditions which also ensure the persistence of solvability are given, and the special
case of linear constraints is handled. The present paper takes pattern from 21] by continuing the approach via contingent
derivatives of the Kojima function associated with the given optimization problem.
Received: June 10, 1999 / Accepted: November 15, 1999?Published online July 20, 2000 |
| |
Keywords: | : local upper Lipschitz property – Kojima function – stationary solutions – contingent derivative – persistence of solvability Mathematics Subject Classification (1991): 90C31 49J52 49K40 |
本文献已被 SpringerLink 等数据库收录! |
|