Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2011; 26(1): 115-124

Printed March 1, 2011

https://doi.org/10.4134/CKMS.2011.26.1.115

Copyright © The Korean Mathematical Society.

Existence theorems for fixed fuzzy points with closed $\alpha$-cut sets in complete metric spaces

Yeol Je Cho and Narin Petrot

Gyeongsang National University, Naresuan University

Abstract

Go to

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.

Keywords: fuzzy point, fixed fuzzy point, fuzzy mapping, $\alpha$-cut set, orbit lower-semi continuous

MSC numbers: 47H10, 54H25

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS