## Abstract and Applied Analysis

### Fixed Point Results for Various $\alpha$-Admissible Contractive Mappings on Metric-Like Spaces

#### Abstract

We establish some fixed point theorems for $\alpha$-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type $\mathrm{\alpha -}\varphi$-contractive self-mapping $f$ defined on a metric-like space $X$. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 379358, 15 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412607603

Digital Object Identifier
doi:10.1155/2014/379358

Mathematical Reviews number (MathSciNet)
MR3212417

Zentralblatt MATH identifier
07022262

#### Citation

Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapınar, Erdal; Rakočević, Vladimir. Fixed Point Results for Various $\alpha$ -Admissible Contractive Mappings on Metric-Like Spaces. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 379358, 15 pages. doi:10.1155/2014/379358. https://projecteuclid.org/euclid.aaa/1412607603

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