$C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations

Document Type : Original Article

Authors

Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

Abstract

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.

Keywords

Main Subjects

References

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AUT Journal of Mathematics and Computing
Volume 6, Issue 1
January 2025
Pages 31-39

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