Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalarization in vector optimization by functions with uniform sublevel
  sets   In this paper, vector optimization is considered in the framework of decision
making and optimization in general spaces. Interdependencies between domination
structures in decision making and domination sets in vector optimization are
given. We prove some basic properties of efficient and of weakly efficient
points in vector optimization. Sufficient conditions for solutions to vector
optimization problems are shown using minimal solutions of functionals. We
focus on the scalarization by functions with uniform sublevel sets, which also
delivers necessary conditions for efficiency and weak efficiency. The functions
with uniform sublevel sets may be, e.g., continuous or even Lipschitz
continuous, convex, strictly quasiconcave or sublinear. They can coincide with
an order unit norm on a subset of the space.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th