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

نویسندگان
Razavi, Seyede Samira ID 1
Parvaneh Masiha, Hashem ID 2

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

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

doi
10.22060/ajmc.2023.22211.1140
چکیده

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.

کلیدواژه‌ها
Banach contraction principle, $b$-metric space, $S_{b}$-metric space, $C^*$-algebra, Integral equation