C* -algebra-valued Sb-metric spaces and applications to integral equations

Author(s):

Seyede Samira Razavi * , Hashem Parvaneh Masiha

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Banach Contraction Principle , $B$-Metric Space , $S , {B}$-Metric Space , $C^*$-Algebra , Integral Equation

Language:
English
Published:
AUT Journal of Mathematics and Computing, Volume:6 Issue: 1, Winter 2025
Pages:
31 to 39
https://magiran.com/p2790403