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.
Razavi, S. S., & Parvaneh Masiha, H. (2023). $C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2023.22211.1140
MLA
Seyede Samira Razavi; Hashem Parvaneh Masiha. "$C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations". AUT Journal of Mathematics and Computing, , , 2023, -. doi: 10.22060/ajmc.2023.22211.1140
HARVARD
Razavi, S. S., Parvaneh Masiha, H. (2023). '$C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2023.22211.1140
VANCOUVER
Razavi, S. S., Parvaneh Masiha, H. $C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations. AUT Journal of Mathematics and Computing, 2023; (): -. doi: 10.22060/ajmc.2023.22211.1140
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