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- W3119873567 abstract "We first introduce a novel notion named $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces. Then, we give proofs of the Banach contraction principle, the expansion mapping theorem, and Jungck's theorem in $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces. As an application of our results, we establish a result for an integral equation in a $C^{*}$-algebra-valued $b_{v}(s)$-metric space. Finally, a numerical method is presented to solve the proposed integral equation, and the convergence of this method is also studied. Moreover, a numerical example is given to show applicability and accuracy of the numerical method and guarantee the theoretical results." @default.
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- W3119873567 date "2020-08-06" @default.
- W3119873567 modified "2023-09-23" @default.
- W3119873567 title "Fixed point theorems in $C^{*}$-algebra-valued $b_{v}( s)$-metric spaces with application and numerical methods" @default.
- W3119873567 doi "https://doi.org/10.30495/jme.v0i0.1436" @default.
- W3119873567 hasPublicationYear "2020" @default.
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