## Abstract and Applied Analysis

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

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 967132, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393512079

Digital Object Identifier
doi:10.1155/2013/967132

Mathematical Reviews number (MathSciNet)
MR3111821

Zentralblatt MATH identifier
07095541

#### Citation

Samreen, Maria; Kamran, Tayyab; Shahzad, Naseer. Some Fixed Point Theorems in $b$ -Metric Space Endowed with Graph. Abstr. Appl. Anal. 2013 (2013), Article ID 967132, 9 pages. doi:10.1155/2013/967132. https://projecteuclid.org/euclid.aaa/1393512079

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