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

Title & Authors
EXISTENCE THEOREMS FOR FIXED FUZZY POINTS WITH CLOSED α-CUT SETS IN COMPLETE METRIC SPACES
Cho, Yeol-Je; Petrot, Narin;

Abstract
In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed $\small{\alpha}$-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 $\small{\alpha}$-cut sets.
Keywords
fuzzy point;fixed fuzzy point;fuzzy mapping;$\small{\alpha}$-cut set;orbit lower-semi continuous;
Language
English
Cited by
1.
On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property, Journal of Applied Mathematics, 2014, 2014, 1
2.
On Common Fixed Point Theorems in the Stationary Fuzzy Metric Space of the Bounded Closed Sets, Abstract and Applied Analysis, 2013, 2013, 1
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