## Abstract and Applied Analysis

### Ulam-Hyers Stability Results for Fixed Point Problems via $\alpha$-$\psi$-Contractive Mapping in ($b$)-Metric Space

#### Abstract

We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via $\alpha$-$\psi$-contractive mapping of type-($b$) in the framework of $b$-metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 825293, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393448679

Digital Object Identifier
doi:10.1155/2013/825293

Mathematical Reviews number (MathSciNet)
MR3095362

Zentralblatt MATH identifier
07095399

#### Citation

Bota, Monica-Felicia; Karapınar, Erdal; Mleşniţe, Oana. Ulam-Hyers Stability Results for Fixed Point Problems via $\alpha$ - $\psi$ -Contractive Mapping in ( $b$ )-Metric Space. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 825293, 6 pages. doi:10.1155/2013/825293. https://projecteuclid.org/euclid.aaa/1393448679

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