C* -algebra-valued Sb-metric spaces and applications to integral equations

We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.

Bibliographic Details
Main Authors: Seyede Samira Razavi, Hashem Parvaneh Masiha
Format: Article
Language:English
Published: Amirkabir University of Technology 2025-01-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_5282_da2c44854141d3cf64db8a17c57a5e4d.pdf