Abstract
Recently, Phiangsungnoen et al. (J. Inequal. Appl. 2014:201 (2014)) studied fuzzy mappings in the framework of Hausdor fuzzy metric spaces. Following this direction of research, we establish the existence of xed 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 some recurrence relations associated to the analysis of quicksort algorithms. 1. Introduction and Preliminaries Uncertainty is an essential part of the real world problems, then Zadeh (36) initiated the study of fuzzy set theory to deal with the phenomenon of uncertainty in control systems. Consequently, fuzzy set theory has been successfully applied in many branches of scientic and social sciences. In particular, combining the
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