Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The role of regularity to reach the vector valued version of Caristi's
  fixed point theorem   In this paper we discuss on the vector valued version of Caristi's theorem.
We show that the regularity of the cone is an essential condition to reach the
vector valued version of Caristi's theorem in vector valued metric spaces. It
is shown that how the absence of the regularity causes some previous Caristi
type theorems and results fail to be correct. Our main result give a vector
valued version of Caristi's theorem for correspondences with weakened
hypotheses in comparison with previous results and generalize them.

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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex