| Title: | Fixed points of fuzzy monotone maps (English) | 
| Author: | Beg, Ismat | 
| Language: | English | 
| Journal: | Archivum Mathematicum | 
| ISSN: | 0044-8753 (print) | 
| ISSN: | 1212-5059 (online) | 
| Volume: | 35 | 
| Issue: | 2 | 
| Year: | 1999 | 
| Pages: | 141-144 | 
| Summary lang: | English | 
| . | 
| Category: | math | 
| . | 
| Summary: | The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved. (English) | 
| Keyword: | fuzzy set | 
| Keyword: | fuzzy order relation | 
| Keyword: | monotone maps | 
| Keyword: | fixed point | 
| MSC: | 03E72 | 
| MSC: | 06A06 | 
| idZBL: | Zbl 1047.03044 | 
| idMR: | MR1711740 | 
| . | 
| Date available: | 2008-06-06T22:22:52Z | 
| Last updated: | 2012-05-10 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/107690 | 
| . | 
| Reference: | [1] Beg, I.: On fuzzy Zorn’s lemma.Fuzzy Sets and Systems 101(1999), 181-183. Zbl 0931.03063, MR 1658920 | 
| Reference: | [2] Beg, I., Islam, M.: Fuzzy ordered linear spaces.Jour. Fuzzy Math. 3(3)(1995), 659-670. MR 1353830 | 
| Reference: | [3] Billot, A.: Economic theory of fuzzy equilibria.Lecture Notes in Economics and Mathematical systems - 373, Springer-Verlag, Berlin 1992. Zbl 0861.90017, MR 1227785 | 
| Reference: | [4] Chapin, E. W.: Set-valued set theory: Part One.Notre Dame Journal of Formal Logic XV(4)(1974), 619-634. MR 0360269 | 
| Reference: | [5] Fang, J. X.: On fixed point theorems in fuzzy metric spaces.Fuzzy Sets and Systems 46(1992), 107-113. Zbl 0766.54045, MR 1153595 | 
| Reference: | [6] Hadzic, O.: Fixed point theorems for multivalued mappings in some classes of fuzzy metric spaces.Fuzzy Sets and Systems 29(1989), 115-125. Zbl 0681.54023, MR 0976292 | 
| Reference: | [7] Heilpern, S.: Fuzzy mappings and fixed point theorem.Jour. Math. Anal. Appl. 83(1981), 566-569. Zbl 0486.54006, MR 0641351 | 
| Reference: | [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. | 
| Reference: | [9] Li, H. X., Yen, V. C.: Fuzzy Sets and Fuzzy Decision Making.CRC Press, New York 1995. MR 1356718 | 
| Reference: | [10] Venugopalan, P.: Fuzzy ordered sets.Fuzzy Sets and Systems 46(1992), 221-226. Zbl 0765.06008, MR 1167316 | 
| Reference: | [11] Zadeh, L. A.: Fuzzy sets.Information & Control 8(1965), 338-353. Zbl 0942.00007, MR 0219427 | 
| Reference: | [12] Zadeh, L. A.: Similarity relations and fuzzy orderings.Info. Sci. 3(1971), 177-200. Zbl 0218.02058, MR 0297650 | 
| Reference: | [13] Zimmermann, H. J.: Fuzzy Set Theory and its Applications.Kluwer Academic Pub. - Dordrecht 1991. Zbl 0984.03042 | 
| . |