Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces

B. Moeini; H. Işik; H. Aydi

doi:10.15330/cmp.12.1.94-106

Related fixed point results via $\mathit{C_{}}$-class functions on $C^{}$-algebra-valued $G_{b}$-metric spaces

B. Moeini Department of Mathematics, Islamic Azad University, Hidaj, Iran
H. Işik Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey https://orcid.org/0000-0001-7558-4088
H. Aydi Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, 4000, H. Sousse, Tunisia https://orcid.org/0000-0003-4606-7211

https://doi.org/10.15330/cmp.12.1.94-106

Keywords: fixed point, $\mathit{C_{*}}$-class function, $C^{*}$-algebra-valued $G_{b}$-metric space

Published online: 2020-06-12

Abstract

We initiate the concept of $C^{*}$-algebra-valued $G_{b}$-metric spaces. We study some basic properties of such spaces and then prove some fixed point theorems for Banach and Kannan types via $\mathit{C_{*}}$-class functions. Also, some nontrivial examples are presented to ensure the effectiveness and applicability of the obtained results.

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Moeini B., Işik H., Aydi H. Related Fixed Point Results via $\mathit{C_{*}}$-Class Functions on $C^{*}$-Algebra-Valued $G_{b}$-Metric Spaces. Carpathian Math. Publ. 2020, 12 (1), 94-106.

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