Geodesic
Fixed points of fuzzy monotone maps
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 141-144
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.
The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.
Classification : 03E72, 06A06
Keywords: fuzzy set; fuzzy order relation; monotone maps; fixed point 
@article{ARM_1999_35_2_a4,
     author = {Beg, Ismat},
     title = {Fixed points of fuzzy monotone maps},
     journal = {Archivum mathematicum},
     pages = {141--144},
     year = {1999},
     volume = {35},
     number = {2},
     mrnumber = {1711740},
     zbl = {1047.03044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1999_35_2_a4/}
}
TY  - JOUR
AU  - Beg, Ismat
TI  - Fixed points of fuzzy monotone maps
JO  - Archivum mathematicum
PY  - 1999
SP  - 141
EP  - 144
VL  - 35
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_1999_35_2_a4/
LA  - en
ID  - ARM_1999_35_2_a4
ER  - 
%0 Journal Article
%A Beg, Ismat
%T Fixed points of fuzzy monotone maps
%J Archivum mathematicum
%D 1999
%P 141-144
%V 35
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_1999_35_2_a4/
%G en
%F ARM_1999_35_2_a4
Beg, Ismat. Fixed points of fuzzy monotone maps. Archivum mathematicum, Tome 35 (1999) no. 2, pp. 141-144. http://geodesic.mathdoc.fr/item/ARM_1999_35_2_a4/

[1] Beg, I.: On fuzzy Zorn’s lemma. Fuzzy Sets and Systems 101(1999), 181-183. | MR | Zbl

[2] Beg, I., Islam, M.: Fuzzy ordered linear spaces. Jour. Fuzzy Math. 3(3)(1995), 659-670. | MR

[3] Billot, A.: Economic theory of fuzzy equilibria. Lecture Notes in Economics and Mathematical systems - 373, Springer-Verlag, Berlin 1992. | MR | Zbl

[4] Chapin, E. W.: Set-valued set theory: Part One. Notre Dame Journal of Formal Logic XV(4)(1974), 619-634. | MR

[5] Fang, J. X.: On fixed point theorems in fuzzy metric spaces. Fuzzy Sets and Systems 46(1992), 107-113. | MR | Zbl

[6] Hadzic, O.: Fixed point theorems for multivalued mappings in some classes of fuzzy metric spaces. Fuzzy Sets and Systems 29(1989), 115-125. | MR | Zbl

[7] Heilpern, S.: Fuzzy mappings and fixed point theorem. Jour. Math. Anal. Appl. 83(1981), 566-569. | MR | Zbl

[8] Jung, J. S., Cho, Y. J., Kim, J. K.: Minimization theorems for fixed point theorem in fuzzy metric spaces and applications. Fuzzy Sets and Systems 61(1994), 119-207.

[9] Li, H. X., Yen, V. C.: Fuzzy Sets and Fuzzy Decision Making. CRC Press, New York 1995. | MR

[10] Venugopalan, P.: Fuzzy ordered sets. Fuzzy Sets and Systems 46(1992), 221-226. | MR | Zbl

[11] Zadeh, L. A.: Fuzzy sets. Information & Control 8(1965), 338-353. | MR | Zbl

[12] Zadeh, L. A.: Similarity relations and fuzzy orderings. Info. Sci. 3(1971), 177-200. | MR | Zbl

[13] Zimmermann, H. J.: Fuzzy Set Theory and its Applications. Kluwer Academic Pub. - Dordrecht 1991. | Zbl