Abstract and Applied Analysis

Fixed Points for ψ -Graphic Contractions with Application to Integral Equations

N. Hussain, S. Al-Mezel, and P. Salimi

Full-text: Open access

Abstract

The aim of this paper is to define modified weak α - ψ -contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α -admissibility. As an application, we prove new fixed point results for graphic weak ψ -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

Permanent link to this document
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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