Some Fixed Point Theorems in b-Metric Space Endowed with Graph

We define some notions of contraction mappings in b-metric space endowed with a graph G and subsequently establish some fixed point results for such classes of contractions. According to the applications of our results, we obtain fixed point theorems for cyclic operators and an existence theorem for...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013, p.464-472-1345
Main Authors: Samreen, Maria, Kamran, Tayyab, Shahzad, Naseer
Format: Article
Language:English
Subjects:
Existence theorems
Fixed point theory
Fixed points (mathematics)
Graph theory
Graphs
Integral equations
Mapping
Mathematical research
Metric spaces
Operators
Theorems
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Summary:We define some notions of contraction mappings in b-metric space endowed with a graph G and subsequently establish some fixed point results for such classes of contractions. According to the applications of our results, we obtain fixed point theorems for cyclic operators and an existence theorem for the solution of an integral equation.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/967132