Sequential Pareto Subdifferential Multi-Composition Rule and Application to Multiobjective Minimax Location Problems
Keywords:
Sequential Pareto subdifferential, multi-composed vector mappings, sequential weak efficiency, sequential proper efficiency, multiobjective minimax location problems, multiobjective bilevel programming problems.Abstract
In the absence of any qualification condition, we provide a sequential formula for the weak/proper Pareto subdifferential of multi-composed convex vector mappings. For illustrating this formula, we propose deriving sequential optimality conditions characterizing weakly/properly efficient solutions of multiobjective minimax location problems with infimal distances. We present an example of
multiobjective bilevel programming problems with an extremal value function, where the standard Lagrange multipliers conditions can not be derived due to the lack of constraint qualification and the sequential conditions hold.
Downloads
Downloads
Published
Issue
Section
License
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
