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

Zeynep Kalkan; Aynur Şahin

doi:10.33434/cams.684102

EN

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

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.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Zeynep Kalkan
0000-0001-6760-9820
Türkiye

Aynur Şahin ^*
0000-0001-6114-9966
Türkiye

Publication Date

June 30, 2020

Submission Date

February 4, 2020

Acceptance Date

March 30, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

DOI

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

IZ

https://izlik.org/JA96YG87LN

APA

Kalkan, Z., & Şahin, A. (2020). Some New Results in Partial Cone $b$-Metric Space. Communications in Advanced Mathematical Sciences, 3(2), 67-73. https://doi.org/10.33434/cams.684102

AMA

1.Kalkan Z, Şahin A. Some New Results in Partial Cone $b$-Metric Space. Communications in Advanced Mathematical Sciences. 2020;3(2):67-73. doi:10.33434/cams.684102

Chicago

Kalkan, Zeynep, and Aynur Şahin. 2020. “Some New Results in Partial Cone $b$-Metric Space”. Communications in Advanced Mathematical Sciences 3 (2): 67-73. https://doi.org/10.33434/cams.684102.

EndNote

Kalkan Z, Şahin A (June 1, 2020) Some New Results in Partial Cone $b$-Metric Space. Communications in Advanced Mathematical Sciences 3 2 67–73.

IEEE

[1]Z. Kalkan and A. Şahin, “Some New Results in Partial Cone $b$-Metric Space”, Communications in Advanced Mathematical Sciences, vol. 3, no. 2, pp. 67–73, June 2020, doi: 10.33434/cams.684102.

ISNAD

Kalkan, Zeynep - Şahin, Aynur. “Some New Results in Partial Cone $b$-Metric Space”. Communications in Advanced Mathematical Sciences 3/2 (June 1, 2020): 67-73. https://doi.org/10.33434/cams.684102.

JAMA

1.Kalkan Z, Şahin A. Some New Results in Partial Cone $b$-Metric Space. Communications in Advanced Mathematical Sciences. 2020;3:67–73.

MLA

Kalkan, Zeynep, and Aynur Şahin. “Some New Results in Partial Cone $b$-Metric Space”. Communications in Advanced Mathematical Sciences, vol. 3, no. 2, June 2020, pp. 67-73, doi:10.33434/cams.684102.

Vancouver

1.Zeynep Kalkan, Aynur Şahin. Some New Results in Partial Cone $b$-Metric Space. Communications in Advanced Mathematical Sciences. 2020 Jun. 1;3(2):67-73. doi:10.33434/cams.684102

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