2009•Journal of Wenzhou UniversityRequires access

Closedness and Semicontinuity of Cone Efficient Solution Sets for Multiobjective Programming under Two Perturbations

Peng Liu

Abstract

The closedness and semicontinutiy for the cone efficient points and the cone weakly efficient points in perturbation of topological vector space's restraint cone and control cone were studied.On this basis,the closedness and semicontinuity for the cone efficient solutions set and the cone weakly efficient solutions set of multiobjective programming problem under two perturbations are obtained.

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Key concepts: Cone (formal languages), Mathematics, Multiobjective programming, Perturbation (astronomy), Dual cone and polar cone, Solution set, Second-order cone programming, Set (abstract data type)