2010/12/20 by Carola Schrage, Schrage, Carola
Computer Science · Mathematics · #49N15 #54C60 #90C46 #Advanced Optimization Algorithms Research #FOS: Mathematics #Functional Equations Stability Results #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC #msc:49N15 #msc:54C60 #msc:90C46
paper · pdf · doi:10.48550/arxiv.1012.4357
This paper has been withdrawn by the author. Withdrawn. This paper was an early version of arXiv:1011.5860
openalex publication_date 2010/12/20 · arxiv created 2014/05/29 · arxiv updated 2014/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
To a function with values in the power set of a pre--ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function. A concept of a Legendre--Fenchel conjugate for set-valued functions is introduced and identified with the conjugates of the scalarizations. The concept of conjugation is connected to the notion of (*,s)--dualities and duality results are provided.