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$C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 4، دوره 6، شماره 1، فروردین 2025، صفحه 31-39 اصل مقاله (408.9 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22211.1140 | ||
| نویسندگان | ||
| Seyede Samira Razavi* ؛ Hashem Parvaneh Masiha | ||
| Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran | ||
| 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 | ||
| مراجع | ||
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