Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new survey: Cone metric spaces   The purpose of this new survey paper is, among other things, to collect in
one place most of the articles on cone (abstract, K-metric) spaces, published
after 2007. This list can be useful to young researchers trying to work in this
part of functional and nonlinear analysis. On the other hand, the existing
review papers on cone metric spaces are updated.
  The main contribution is the observation that it is usually redundant to
treat the case when the underlying cone is solid and non-normal. Namely, using
simple properties of cones and Minkowski functionals, it is shown that the
problems can be usually reduced to the case when the cone is normal, even with
the respective norm being monotone. Thus, we offer a synthesis of the
respective fixed point problems arriving at the conclusion that they can be
reduced to their standard metric counterparts. However, this does not mean that
the whole theory of cone metric spaces is redundant, since some of the problems
remain which cannot be treated in this way, which is also shown in the present
article.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics