TY - JOUR
ID - 5282
TI - $C^*$-algebra-valued $S_b$-metric spaces and applications to integral equations
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Razavi, Seyede Samira
AU - Parvaneh Masiha, Hashem
AD - Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Y1 - 2023
PY - 2023
VL -
IS -
SP -
EP -
KW - Banach contraction principle
KW - $b$-metric space
KW - $S_{b}$-metric space
KW - $C^*$-algebra
KW - Integral equation
DO - 10.22060/ajmc.2023.22211.1140
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_5282.html
L1 -
ER -