Connectedness of ε-strong Effective Point Set for Set-valued Vector Optimization Problems with Parameters
In this paper,we study the connectivity of ε-strong effective point sets with parameters.Firstly we introduce the concept of ε-strong effective point set with parameters in locally convex Hausdorff topological linear space.Then,under the condition that the feasible region is arcwise con-nected and compact,and the objective function is C-arcwise connected set-valued mapping,we prove the ε-strong effective point set is nonempty and obtain the connectedness of ε-strong efficient solution set with parameters.
connectednessset-valued mappingε-strong effective points with parameters
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