On Parametric Vector Optimization via Metric Regularity of Constraint Systems

Abstract

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.

14 pages

References in corpus (1)

• Openness Stability and Implicit Multifunction Theorems. Applications to Variational Systems

Cited by in corpus (3)

• Openness Stability and Implicit Multifunction Theorems. Applications to Variational Systems
• Filling the Gap between Metric Regularity and Fixed Points: The Linear Openness of Compositions
• On Subregularity Properties of Set-Valued Mappings. Applications to Solid Vector Optimization