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

Year 2024, Volume: 7 Issue: 4, 152 - 162, 09.12.2024

Abdessalem Benterki

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

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

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.

Supporting Institution

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

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