Abstract
In this paper, a strong nonlinear Lagrangian duality result is established for an inequality constrained multiobjective optimization problem. This duality result improves and unifies existing strong nonlinear Lagrangian duality results in the literature. As a direct consequence, a strong nonlinear Lagrangian duality result for an inequality constrained scalar optimization problem is obtained. Also, a variant set of conditions is used to derive another version of the strong duality result via nonlinear Lagrangian for an inequality constrained multiobjective optimization problem.
| Original language | English |
|---|---|
| Pages (from-to) | 111-127 |
| Number of pages | 17 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 120 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2004 |
Keywords
- Duality
- Multiobjective optimization
- Nonlinear Lagrangians
- Set-valued maps
ASJC Scopus subject areas
- Applied Mathematics
- Control and Optimization
- Management Science and Operations Research