Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior. (English) Zbl 1112.90077
Summary: We consider the set-valued vector optimization problems with constraint in locally convex spaces. We present the necessary and sufficient conditions for Henig efficient solution pair, globally proper efficient solution pair and super efficient solution pair without the ordering cones having the nonempty interior.
MSC:
| 90C29 | Multi-objective and goal programming |
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
| 90C46 | Optimality conditions and duality in mathematical programming |
| 90C48 | Programming in abstract spaces |
Keywords:
Set-valued vector optimization; Optimality condition; Quasi interior; Henig efficient solution; Globally proper efficient solutionReferences:
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