## Abstract and Applied Analysis

### Fixed Points for $\psi$-Graphic Contractions with Application to Integral Equations

#### Abstract

The aim of this paper is to define modified weak $\alpha$-$\psi$-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular $\alpha$-admissibility. As an application, we prove new fixed point results for graphic weak $\psi$-contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 575869, 11 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393449686

Digital Object Identifier
doi:10.1155/2013/575869

Mathematical Reviews number (MathSciNet)
MR3108673

Zentralblatt MATH identifier
1294.54026

#### Citation

Hussain, N.; Al-Mezel, S.; Salimi, P. Fixed Points for $\psi$ -Graphic Contractions with Application to Integral Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 575869, 11 pages. doi:10.1155/2013/575869. https://projecteuclid.org/euclid.aaa/1393449686

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