Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Solution to the Rhoades' Open Problem with an Application   We give a new solution to the Rhoades' open problem on the discontinuity at
fixed point via the notion of an $S$-metric. To do this, we inspire with the
notion of a Zamfirescu mapping. Also, we consider a recent problem called the
"fixed-circle problem" and propose a new solution to this problem as an
application of our technique.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph