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 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 some recurrence relations associated to the analysis of quicksort algorithms.
Abbas, Mujahid; Naleem, Naeem; De la Sen, Manuel(SpringerOpen, 2016-04-01)
In this paper, we introduce best proximal contractions in complete ordered
non-Archimedean fuzzy metric space and obtain some proximal results. The obtained
results unify, extend, and generalize some comparable results ...
Abbas, Mujahid; Saleem, N.; Raza, Z.(University of Sistan and Baluchestan, 2016)
In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and
prove some proximal theorems. As a consequence, it provides the existence of
Abbas, Mujahid; Ali, Basit(University of Sistan and Baluchestan, 2015)
Generalized Geraghty type fuzzy mappings on complete metric
spaces are introduced and a xed point theorem that generalizes some recent
comparable results for fuzzy mappings in contemporary literature is obtained.