Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Characterization of Cauchy Sequences in Fuzzy Metric Spaces and Its
  Application to Fuzzy Fixed Point Theory   We introduce the concept of fuzzy Ciric-Matkowski contractive mappings as a
generalization of fuzzy Meir-Keeler type contractions. We also introduce a
class $\Psi_1$ of gauge functions $\psi:(0,1]\to(0,1]$ in the sense that, for
any $r\in(0,1)$, there exists $\rho\in(r,1)$ such that $1-r> \tau >1-\rho$
implies $\psi(\tau)\geq 1-r$. We show that fuzzy $\psi$-contractive mappings
($\psi\in\Psi_1$) are fuzzy Ciric-Matkowski contractive mappings. Then, we
present a characterization of $M$-Cauchy sequences in fuzzy metric spaces. This
characterization is used to establish new fuzzy fixed point theorems. Our
results include those of Mihet (Fuzzy $\psi$-contractive mappings in
non-Archimedean fuzzy metric spaces, Fuzzy Sets Syst. 159(2008) 739--744.),
Wardowski (Fuzzy contractive mappings and fixed points in fuzzy metric spaces,
Fuzzy Sets Syst. 222(2013) 108--114) and others. Examples are given to support
the results.

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The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex