On parametric vector optimization via metric regularity of constraint systems
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.
KeywordsSet-valued mappings Metric regularity Scalar and vector optimization
Mathematics Subject Classification (2010)90C30 49J53 54C60
Unable to display preview. Download preview PDF.
- Durea M, Strugariu R (2011b) Openness stability and implicit multifunction theorems. Applications to variational systems. Nonlinear Anal Theory Methods. doi: 10.1016/j.na.2011.02.019
- Mordukhovich BS (2006) Variational analysis and generalized differentiation, vol I: basic theory, vol II: applications, Springer, Grundlehren der mathematischen Wissenschaften (A series of comprehensive studies in mathematics) vol 330 and 331, BerlinGoogle Scholar