Dergiler / Communications in Advanced Mathematical Sciences / 2020 / Cilt: 3 - Sayı: 2

Some New Results in Partial Cone $b$-Metric Space

Some New Results in Partial Cone $b$-Metric Space

Zeynep KALKAN, Aynur ŞAHİN

Sayfa
67–73
DOI
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Abstract

In this paper, we introduce the concepts of the Ulam-Hyers-Rassias stability and the limit shadowing property of a fixed point problem and the $P$-property of a mapping in partial cone $b$-metric space. Also, we give such results by using the mapping which is studied by Fernandez et al.[4] in partial cone $b$-metric space and provide some numerical examples to support our results. The results presented here extend and improve some recent results announced in the current literature.

Some New Results in Partial Cone $b$-Metric Space — AJindex