.png){kind=icon}
.png){kind=icon}
Return
Optimality conditions for nonsmooth multiobjective bilevel optimization problems
.png){kind=icon}
PRE
AI
DOI：10.1007/s10479-017-2734-6.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This article is devoted to the study of a nonsmooth multiobjective bilevel optimization problem, which involves the vector-valued objective functions in both levels of the considered program. We first formulate a relaxation multiobjective formulation for the multiobjective bilevel problem and examine the relationships of solutions between them. We then establish Fritz John (FJ) and Karush-Kuhn-Tucker (KKT) necessary conditions for the nonsmooth multiobjective bilevel optimization problem via its relaxation. This is done by studying a related multiobjective optimization problem with operator constraints.
Keywords:
Optimality condition
Limiting subdifferential
Coderivative
KKT relaxation
Multiobjective bilevel optimization
Operator constraint
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
4.5
Papers:
8.0K
Citations:
2.1W
Organization
No organization information available