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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
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Category: math
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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
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Date available: 2008-06-06T22:22:52Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107690
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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
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