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

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Communications in Advanced Mathematical Sciences
Volume:3 Issue:2
Some New Results in Partial Cone $b$-Metric Space

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

Authors : Zeynep KALKAN, Aynur ŞAHİN

Pages : 67-73

Doi:10.33434/cams.684102

View : 14 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

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.
Keywords : Fixed point, Limit shadowing property, P property, Partial cone b metric space, Ulam Hyers Rassias stability

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