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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
endowed graph;
metric spaces;
points algebra;
fixed points;
valued metric;
algebra valued
Journal Title: Mathematica Slovaca
Year Published: 2018
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Journal Title: Mathematica Slovaca
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!