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• W4312228975 abstract "Abstract Involving <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>w</m:mi> </m:math> w -distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>T</m:mi> </m:mrow> <m:mrow> <m:mn>1</m:mn> </m:mrow> </m:msub> </m:math> {T}_{1} ) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non- <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>T</m:mi> </m:mrow> <m:mrow> <m:mn>1</m:mn> </m:mrow> </m:msub> </m:math> {T}_{1} quasi-metric spaces. As an application, we deduce a characterization of complete <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>G</m:mi> </m:math> G -metric spaces in terms of a weak version of Caristi’s theorem that involves a G -metric version of w -distances." @default.
• W4312228975 created "2023-01-04" @default.
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• W4312228975 date "2022-01-01" @default.
• W4312228975 modified "2023-09-30" @default.
• W4312228975 title "Characterizations of quasi-metric and <i>G</i>-metric completeness involving <i>w</i>-distances and fixed points" @default.
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• W4312228975 doi "https://doi.org/10.1515/dema-2022-0177" @default.
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