Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using an implicit function to prove common fixed point theorems   In this paper, we prove common fixed point results for a self-mappings
satisfying an implicit function which is general enough to cover a multitude of
known as well as unknown contractions. Our results modify, unify, extend and
generalize many relevant results of the existing literature. Interestingly,
unlike several other cases, our main results deduce a nonlinear order-theoretic
version of a well-known fixed point theorem (proved for quasi-contraction) due
to \'{C}iri\'{c} (Proc. Amer. Math. Soc. (54) 267-273, 1974). Finally, in the
setting of metric spaces, we drive a sharpened version of Theorem 1 due to
Berinde and Vetro (Fixed Point Theory Appl. 2012:105).

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex