Vetro, C., Abbas, M., Ali, B. (2015). Fixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application. Iranian Journal of Fuzzy Systems, 12(3), 31-45. doi: 10.22111/ijfs.2015.2018

Calogero Vetro; Mujahid Abbas; Basit Ali. "Fixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application". Iranian Journal of Fuzzy Systems, 12, 3, 2015, 31-45. doi: 10.22111/ijfs.2015.2018

Vetro, C., Abbas, M., Ali, B. (2015). 'Fixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application', Iranian Journal of Fuzzy Systems, 12(3), pp. 31-45. doi: 10.22111/ijfs.2015.2018

Vetro, C., Abbas, M., Ali, B. Fixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application. Iranian Journal of Fuzzy Systems, 2015; 12(3): 31-45. doi: 10.22111/ijfs.2015.2018

Fixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application

^{1}Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy

^{2}Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa, Department of Mathematics, Syed Babar Ali School of Science and Engineering (SBASSE), Lahore University of Management Sciences (LUMS), Lahore, 54792, Pakistan

^{3}Department of Mathematics, Syed Babar Ali School of Science and Engi- neering (SBASSE), Lahore University of Management Sciences (LUMS), Lahore, 54792, Pakistan

Abstract

Recently, Phiangsungnoen et al. [J. Inequal. Appl. 2014:201 (2014)] 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 some recurrence relations associated to the analysis of quicksort algorithms.

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