Istituto di Scienza e Tecnologie dell'Informazione     
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.
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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