Images and Existence of Constrained Scalar and Vector Extrema

Carla Antoni () and Franco Giannessi ()
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Carla Antoni: Naval Academy
Franco Giannessi: University of Pisa

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 3, No 16, 865-888

Abstract: Abstract By means of the image space analysis, a necessary and sufficient condition is established for the existence of vector extrema. In the scalar case, the sufficient part is shown to shrink to a known one.

Keywords: Image space analysis; Vector optimization problems; Multi-objective Problems; Existence of maxima and minima; Bi-level optimization; 65K; 90C (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1263-z

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