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- Title
FIXED POINTS IN C*-ALGEBRA VALUED b-METRIC SPACES ENDOWED WITH A GRAPH.
- Authors
MOHANTA, SUSHANTA KUMAR
- 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.
- Subjects
FIXED point theory; ALGEBRA; METRIC spaces; GRAPH theory; MATHEMATICAL mappings; CONTRACTIONS (Topology); NUMERICAL solutions to operator equations
- Publication
Mathematica Slovaca, 2018, Vol 68, Issue 3, p639
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2017-0131