- Communications in Advanced Mathematical Sciences
- Vol: 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 Şahin
Pages : 67-73
Doi:10.33434/cams.684102
View : 11 | Download : 6
Publication Date : 2020-06-30
Article Type : Research
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