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A New Common Fixed Degree Theorem for Fuzzy Mappings in Menger PM-Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年03期
Page:
1-5
Research Field:
数学
Publishing date:

Info

Title:
A New Common Fixed Degree Theorem for Fuzzy Mappings in Menger PM-Spaces
Author(s):
Jiang Shenqing 1; 2 ; Fang Jinxuan 1
1. School of Mathematical Science,Nanjing Normal University,Nanjing 210046,China
Keywords:
M enger PM-spaces;  fuzzy m appings;  -contraction;  fix ed degree;  fixed po int
PACS:
O177.91
DOI:
-
Abstract:
new comm on fix ed degree theorem for fuzzy m app ings inM eng er probab ilisticm etr ic space under - contraction condition is proved. Some recent results g iven by Abu-Don ia are ex tended

References:

[ 1] Abu-DoniaH M. Comm on fixed po int theorem s for fuzzy m appings in m etric space unde rU-contraction cond ition [ J] . Chaos,Solitons & Facta ls, 2007, 34( 2): 538-543.
[ 2] Schw eizer B, Sk la rA. Probab ilisticM etr ic Spaces [M ]. Am sterdam: No rth-H o lland, 1983.
[ 3] H adÑic O, Pap E. F ixed Po int Theory in ProbabilisticM etr ic Spaces [M ] . Dordrech t: K luw er Academ ic Pub lishers, 2001.
[ 4] Schw eizer B, Sk la rA. S tatistical me tric spaces [ J]. Pacific JM a th, 1960, 10: 313-334.
[ 5] Schw eizer B, Sk la rA, Thorp E. Them etrization o f statisticalm e tric spaces [ J]. Pacific JM a th, 1960, 10: 673-675.
[ 6] Fang J X. On fixed deg ree theo rem s for fuzzy mapp ing s inM eng erPM-spaces [ J]. Fuzzy Sets and System s, 2006, 157( 2):270-285.
[ 7] Butnar iu D. Fix ed po int theorem s for fuzzym app ing s [ J]. Fuzzy Se ts and Systems, 1982, 7( 2) : 191-207.
[ 8] H adÑic O. Fix ed po in t theo rem s fo rmu lt-i v alued m app ings in probab ilisticm etric spaces [ J]. M at Vesn ik, 1979, 3: 125-133.
[ 9] Fang J X. F ixed po int theo rem s of loca l contraction m app ings onM enger spaces [ J]. ApplM a thM ech, 1991, 12( 4) : 363-372.
[ 10] Fang J X. F ixed degree of fuzzym app ing s [ J]. Kexue Tongbao, 1985, 9: 1267.

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Last Update: 2013-04-23