In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an application for determining the existence and uniqueness of a solution for a type of matrix equations and integral equation.
Citation: Ouafaa Bouftouh, Samir Kabbaj, Thabet Abdeljawad, Aiman Mukheimer. On fixed point theorems in $ C^{*} $-algebra valued $ b $-asymmetric metric spaces[J]. AIMS Mathematics, 2022, 7(7): 11851-11861. doi: 10.3934/math.2022661
In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an application for determining the existence and uniqueness of a solution for a type of matrix equations and integral equation.
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Ouafaa Bouftouh, Samir Kabbaj, Thabet Abdeljawad, Aiman Mukheimer. On fixed point theorems in $ C^{*} $-algebra valued $ b $-asymmetric metric spaces[J]. AIMS Mathematics, 2022, 7(7): 11851-11861. doi: 10.3934/math.2022661
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