## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2014, Special Issue (2014), Article ID 353765, 8 pages.

### Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces

#### Abstract

We introduce the notions of $(\alpha -\varphi -\psi )$-weaker Meir-Keeler contractive mappings and $(\alpha -\phi )$-stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.

#### Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 353765, 8 pages.

Dates
First available in Project Euclid: 1 October 2014

https://projecteuclid.org/euclid.jam/1412177962

Digital Object Identifier
doi:10.1155/2014/353765

Mathematical Reviews number (MathSciNet)
MR3256309

#### Citation

Chen, Chi-Ming; Karapınar, Erdal; Rakočević, Vladimir. Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces. J. Appl. Math. 2014, Special Issue (2014), Article ID 353765, 8 pages. doi:10.1155/2014/353765. https://projecteuclid.org/euclid.jam/1412177962

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