# EXISTENCE THEOREMS FOR FIXED FUZZY POINTS WITH CLOSED α-CUT SETS IN COMPLETE METRIC SPACES

• Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS GYEONGSANG NATIONAL UNIVERSITY) ;
• Petrot, Narin (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE NARESUAN UNIVERSITY, CENTRE OF EXCELLENCE IN MATHEMATICS)
• Received : 2010.02.24
• Published : 2011.01.31

#### Abstract

In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed $\alpha$-cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded $\alpha$-cut sets.

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#### Cited by

1. On Common Fixed Point Theorems in the Stationary Fuzzy Metric Space of the Bounded Closed Sets vol.2013, 2013, https://doi.org/10.1155/2013/951259
2. On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property vol.2014, 2014, https://doi.org/10.1155/2014/549504