Tardella F. Some topological properties in optimization theory. In: Journal of Optimization Theory and Applications, vol. 60 (11) pp. 105 - 117. Plenum Publishing Corporation, 1989. |

Abstract (English) |
We study some topological properties of the vector sum of two sets, and we introduce the concept of strong cone compactness, a slightly strengthened version of the notion of cone compactness, which is used frequently in vector optimization. Furthermore, we establish a generalization of the well-known fact that the continuous image of a compact set is compact. | |

Subject | Closedness of the sum of sets Cone compactness Strong cone compactness Cone compactness Cone semicontinuity Cone semicompactness |

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