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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Amirkabir University of Technology
2025-01-01
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Series: | AUT Journal of Mathematics and Computing |
Subjects: | |
Online Access: | https://ajmc.aut.ac.ir/article_5282_da2c44854141d3cf64db8a17c57a5e4d.pdf |