**Volume 18, Issue 2, pp 206--215**

**Publication Date**: 2018-01-28

**Abdullah Eqal Al-Mazrooei**
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia

**Jamshaid Ahmad**
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia

The aim of this paper is to obtain some common \(\alpha \)-fuzzy fixed points for fuzzy mappings under almost \(F\)-contraction in the setting of metric space. In this way we generalize, unify, and complement fuzzy fixed point results of literature. As an application, we derive some multivalued fixed point theorems as a direct consequence of our main results. We also provide a non trivial example to show the significance of the investigation of this paper.

\(\alpha \)-Fuzzy fixed points, \(F\)-contraction, multivalued mapping, metric space

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