Abstract
There is an increasing interest in the study of optimality conditions of approximate solutions for nonlinear optimization problems. In this paper, relationships between approximate optimal values and approximate roots of a nonlinear function are explored via a nonlinear Lagrangian function. Almost approximate optimal solutions are investigated by means of nonlinear Lagrangian functions.
| Original language | English |
|---|---|
| Pages (from-to) | 51-65 |
| Number of pages | 15 |
| Journal | Journal of Global Optimization |
| Volume | 21 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Sep 2001 |
Keywords
- Approximate solution
- Ekeland's variational principle
- Nonlinear Lagrangian
- Nonlinear programming
ASJC Scopus subject areas
- Management Science and Operations Research
- Global and Planetary Change
- Applied Mathematics
- Control and Optimization