Name
Abstract | ||
|---|---|---|
Using variational analysis, we study vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In particular, in terms of the coderivatives, we present Fermat’s rules as necessary conditions for an optimal solution of the above problems. As applications, we also provide some necessary conditions (in terms of Clarke’s normal cones or the limiting normal cones) for Pareto efficient points. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10107-004-0569-9 | Math. Program. |
Keywords | Field | DocType |
pareto efficient point,vector optimization problem,fermat rule,multifunction,coderivative,closed multifunctions,pareto solution,normal cone,optimal solution,banach space,variational analysis,necessary condition,asplund space,vector optimization | Variational analysis,Mathematical optimization,Vector optimization,Calculus of variations,Banach space,Fermat's Last Theorem,Pareto principle,Mathematics,Limiting,Convex cone | Journal |
Volume | Issue | ISSN |
104 | 1 | 1436-4646 |
Citations | PageRank | References |
8 | 1.52 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xi Yin Zheng | 1 | 236 | 24.17 |
| Kung Fu Ng | 2 | 311 | 27.85 |