Open Access Research

Suzuki-type fixed point theorem for fuzzy mappings in ordered metric spaces

Basit Ali1* and M Abbas1,2

Author Affiliations

1 Department of Mathematics, School of Science and Engineering, Lahore University of Management Sciences, Lahore, 54792, Pakistan

2 Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, Pretoria, South Africa

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Fixed Point Theory and Applications 2013, 2013:9 doi:10.1186/1687-1812-2013-9

Published: 10 January 2013

Abstract

In this paper, a Suzuki-type fixed fuzzy point result for fuzzy mappings in complete ordered metric spaces is obtained. As an application, we establish the existence of coincidence fuzzy points and common fixed fuzzy points for a hybrid pair of a single-valued self-mapping and a fuzzy mapping. An example is also provided to support the main result presented herein.

MSC: 47H10, 47H04, 47H07.

Keywords:
fixed fuzzy point; fuzzy mapping; fuzzy set; approximate quantity