Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ekeland's variational principle for interval-valued functions with
  applications   In this paper, we obtain a version of Ekeland's variational principle for
interval-value functions by means of the Dancs-Hegedus-Medvegyev theorem [14].
We also derive two versions of Ekeland's variational principle involving the
generalized Hukuhara Gateaux differentiability of interval-valued functions as
well as a version of Ekeland's variational principle for interval-valued
bifunctions. Finally, we apply these new versions of Ekeland's variational
principle to fixed point theorems, to interval-valued optimization problems, to
the interval-valued Mountain Pass Theorem, to noncooperative interval-valued
games, and to interval-valued optimal control problems described by
interval-valued differential equations.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
19
The categories of this paper are: eess