Calogero Vetro - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi ۳۴, ۹۰۱۲۳ Palermo, Italy
Mujahid Abbas - Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria ۰۰۰۲, South Africa, Department of Mathematics, Syed Babar Ali School of Science and Engineering (SBASSE), Lahore University of Management Sciences
Basit Ali - Department of Mathematics, Syed Babar Ali School of Science and Engi- neering (SBASSE), Lahore University of Management Sciences (LUMS), Lahore, ۵۴۷۹۲, Pakistan

Recently, Phiangsungnoen et al. [J. Inequal. Appl. ۲۰۱۴:۲۰۱ (۲۰۱۴)] studied fuzzy mappings in the framework of Hausdorff fuzzy metric spaces.Following this direction of research, we establish the existence of fixed fuzzy points of fuzzy mappings. An example is given to support the result proved herein; we also present a coincidence and common fuzzy point result. Finally, as an application of our results, we investigate the existence of solution for somerecurrence relations associated to the analysis of quicksort algorithms.

Fuzzy metric space, Fuzzy mapping, Fixed fuzzy point, Quicksort algorithm