Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Unified Characterization of Nonlinear Scalarizing Functionals in
  Optimization   Over the years, several classes of scalarization techniques in optimization
have been introduced and employed in deriving separation theorems, optimality
conditions and algorithms. In this paper, we study the relationships between
some of those classes in the sense of inclusion. We focus on three types of
scalarizing functionals defined by Hiriart-Urruty, Drummond and Svaiter, and
Gerstewitz. We completely determine their relationships. In particular, it is
shown that the class of the functionals by Gerstewitz is minimal in this sense.
Furthermore, we define a new (and larger) class of scalarizing functionals that
are not necessarily convex, but rather quasidifferentiable and positively
homogeneous. We show that our results are connected with some of the set
relations in set optimization.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th