Upper and Lower Semicontinuity for Set-Valued Mappings Involving Constraints

E. Muselli
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E. Muselli: University of Genova

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 3, No 5, 527-550

Abstract: Abstract In vector optimization, several authors have studied the upper and lower semicontinuity for mappings involving constraints in topological vector spaces partially ordered through a cone with nonempty interior. In this paper, we give conditions about the upper and lower semicontinuity in the case that the ordering cone in the parameter space has possibly empty interior, as it happens in many function spaces and seqence spaces.

Keywords: vector optimization; set-valued mappings; constraint sets; stability (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004653312019

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