## Abstract and Applied Analysis

### Fixed Points for Weak $\alpha$-$\psi$-Contractions in Partial Metric Spaces

#### Abstract

Recently, Samet et al. (2012) introduced the notion of $\alpha$-$\psi$-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weak $\alpha$-$\psi$-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 986028, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511952

Digital Object Identifier
doi:10.1155/2013/986028

Mathematical Reviews number (MathSciNet)
MR3073469

Zentralblatt MATH identifier
07095560

#### Citation

Kumam, Poom; Vetro, Calogero; Vetro, Francesca. Fixed Points for Weak $\alpha$ - $\psi$ -Contractions in Partial Metric Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 986028, 9 pages. doi:10.1155/2013/986028. https://projecteuclid.org/euclid.aaa/1393511952

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