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ISSN : 1226-0657

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Vol.30 No.4
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C*-algebra-valued Extended Quasi b-metric Spaces and Fixed Point Theorems with an Application

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.4, pp.407-416
https://doi.org/10.7468/jksmeb.2023.30.4.407
QUSUAY H. ALQIFIARY (University of Al-Qadisiyah, Iraq)

QUSUAY, H. A. , & (2023). C*-algebra-valued Extended Quasi b-metric Spaces and Fixed Point Theorems with an Application. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 407-416, https://doi.org/10.7468/jksmeb.2023.30.4.407
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Abstract

In this paper, we introduce the concept of $C^{*}$-algebra-valued extended quasi $b$-metric space and prove some existence and uniqueness theorems. Furthermore, we prove the Hyers-Ulam stability results for fixed point problems via $C^{*}$-algebra-valued extended quasi $b$-metric space.

keywords
$C^*$-algebra-valued metric space, extended quasi $b$-metric space, fixed point, functional equation, Cauchy sequence, Hyers-Ulam stability

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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