Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chatterjea type fixed point in Partial $b$-metric spaces   In this paper, we give and prove two Chatterjea type fixed point theorems on
partial $b$-metric space. We propose an extension to the Banach contraction
principle on partial $b$-metric space which was already presented by Shukla and
also study some related results on the completion of a partial metric type
space. In particular, we prove a joint Chatterjea-Kannan fixed point theorem.
We verify the $T$-stability of Picard's iteration and conjecture the $P$
property for such maps. We also give examples to illustrate our results.

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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio