## Abstract and Applied Analysis

### Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces

#### Abstract

We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called $\alpha$-$\lambda$-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 268230, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606568

Digital Object Identifier
doi:10.1155/2014/268230

Mathematical Reviews number (MathSciNet)
MR3224304

Zentralblatt MATH identifier
07022057

#### Citation

Kutbi, Marwan Amin; Sintunavarat, Wutiphol. Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α - λ -Contraction Mapping in Metric Spaces. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 268230, 6 pages. doi:10.1155/2014/268230. https://projecteuclid.org/euclid.aaa/1412606568

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