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Fixed points in $C*$-algebra valued $b$-metric spaces endowed with a graph

In: Mathematica Slovaca, vol. 68, no. 3
Sushanta Kumar Mohanta
Detaily:
Rok, strany: 2018, 639 - 654
Kľúčové slová:
$C^*$-algebra, $C^*$-algebra valued $b$-metric, directed graph, $C^*$-algebra valued $G$-contraction, fixed point
O článku:
We discuss the existence and uniqueness of fixed points for a self-mapping defined on a $C*$-algebra valued $b$-metric space endowed with a graph. Our results extend and supplement several recent results in the literature. Some examples are provided to illustrate our results. Finally, as an application of $G$-contraction mapping theorem, existence of unique solution for a type of operator equation is given.
Ako citovať:
ISO 690:
Mohanta, S. 2018. Fixed points in $C*$-algebra valued $b$-metric spaces endowed with a graph. In Mathematica Slovaca, vol. 68, no.3, pp. 639-654. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0131

APA:
Mohanta, S. (2018). Fixed points in $C*$-algebra valued $b$-metric spaces endowed with a graph. Mathematica Slovaca, 68(3), 639-654. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0131
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