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

Year 2020, Volume: 3 Issue: 2, 67 - 73, 30.06.2020

Zeynep Kalkan , Aynur Şahin

https://doi.org/10.33434/cams.684102

Cited By: 2

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

Thanks

The authors would like to thank Prof. Metin Başarır for his valuable suggestions to improve the content of the manuscript.

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