Abstract
Second-order necessary conditions for inequality and equality constrained C1, 1 optimization problems are derived. A constraint qualification condition which uses the recent generalized second-order directional derivative is employed to obtain these conditions. Various second-order sufficient conditions are given under appropriate conditions on the generalized second-order directional derivative in a neighborhood of a given point. An application of the second order conditions to a new class of nonsmooth C1, 1 optimization problems with infinitely many constraints is presented.
| Original language | English |
|---|---|
| Pages (from-to) | 621-632 |
| Number of pages | 12 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 14 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - 1 Jan 1993 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization