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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)
이정례 (대진대학교)
QUSUAY, H. A. , & 이정례. (2023). , 30(4), 407-416, https://doi.org/10.7468/jksmeb.2023.30.4.407

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

한국수학교육학회지시리즈B:순수및응용수학

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