On Parametric Vector Optimization via Metric Regularity of Constraint Systems

Details On Parametric Vector Optimization via Metric Regularity of Constraint Systems On Parametric Vector Optimization via Metric Regularity of Constraint Systems

2011-02-02

arxiv.org/abs/1102.0421v1

Mathematics

Optimization and Control

14 pages

Scientific paper

10.1007/s00186-011-0370-5

Some metric and graphical regularity properties of generalized constraint
systems are investigated. Then, these properties are applied in order to
penalize (in the sense of Clarke) various scalar and vector optimization
problems. This method allows us to present several necessary optimality
conditions in solid constrained vector optimization.

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