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C*-algebra-valued Extended Quasi b-metric Spaces and Fixed Point Theorems with an Application

이정례|QUSUAY H. ALQIFIARY
한국수학교육학회|2023.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제4호|pp. 407-416|DOI https://doi.org/10.7468/jksmeb.2023.30.4.407

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fixed pointfunctional equationCauchy sequenceHyers-Ulam stability$C^*$-algebra-valued metric spaceextended quasi $b$-metric space
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초록

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.

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.

참고문헌 (14)

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