Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces

Abdessalem Benterki

doi:10.32323/ujma.1466879

EN

Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces

Abstract

This research paper examines the data dependence of fixed point sets for pseudo-contractive multifunctions in partial metric spaces using the notion of $\mathcal{C}$-class functions. By building upon previous findings from the literature, this work sheds more light on some new perspectives as well as generalizations on this issue. To illustrate how the $\mathcal{C}$-class function can be applied to study the data dependence of fixed point sets for a certain pseudo-contractive multifunction, an illustrative example is given.

Keywords

$\mathcal{C}$-class function, Data dependence, Multifunction, Partial metric space

Supporting Institution

No grants were received from any public, private or non-profit organizations for this research.

Ethical Statement

All studies cited in this work adhere to the highest standards of scientific rigour and ethical conduct, and the results are presented in the bibliography.

References

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Abdessalem Benterki ^*
0000-0001-9060-4737
Algeria

Early Pub Date

October 28, 2024

Publication Date

December 9, 2024

Submission Date

April 8, 2024

Acceptance Date

September 3, 2024

Published in Issue

Year 2024 Volume: 7 Number: 4

DOI

https://doi.org/10.32323/ujma.1466879

IZ

https://izlik.org/JA97UR62EC

APA

Benterki, A. (2024). Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces. Universal Journal of Mathematics and Applications, 7(4), 152-162. https://doi.org/10.32323/ujma.1466879

AMA

1.Benterki A. Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces. Univ. J. Math. Appl. 2024;7(4):152-162. doi:10.32323/ujma.1466879

Chicago

Benterki, Abdessalem. 2024. “Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces”. Universal Journal of Mathematics and Applications 7 (4): 152-62. https://doi.org/10.32323/ujma.1466879.

EndNote

Benterki A (December 1, 2024) Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces. Universal Journal of Mathematics and Applications 7 4 152–162.

IEEE

[1]A. Benterki, “Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces”, Univ. J. Math. Appl., vol. 7, no. 4, pp. 152–162, Dec. 2024, doi: 10.32323/ujma.1466879.

ISNAD

Benterki, Abdessalem. “Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces”. Universal Journal of Mathematics and Applications 7/4 (December 1, 2024): 152-162. https://doi.org/10.32323/ujma.1466879.

JAMA

1.Benterki A. Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces. Univ. J. Math. Appl. 2024;7:152–162.

MLA

Benterki, Abdessalem. “Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces”. Universal Journal of Mathematics and Applications, vol. 7, no. 4, Dec. 2024, pp. 152-6, doi:10.32323/ujma.1466879.

Vancouver

1.Abdessalem Benterki. Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces. Univ. J. Math. Appl. 2024 Dec. 1;7(4):152-6. doi:10.32323/ujma.1466879