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Common Fixed Point Theorems for a Sequence of Fuzzy Mappiongs(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1997年02期
Page:
89-92
Research Field:
Publishing date:

Info

Title:
Common Fixed Point Theorems for a Sequence of Fuzzy Mappiongs
Author(s):
Shi Chuan
School of Sciences,NUST,Nanjing 210094
Keywords:
systems eng ineer ing fuzzy cont rol theory fuzzy mapping f ix ed- point theorem
PACS:
O177.91
DOI:
-
Abstract:
For r equirement of fuzzy system engineering , et. al. , 1981, S. Heilpern first int ro duced the concept o f fuzzy mapings and prov ed fix ed point theo rems for cont ract ion fuzzy mappings. T he paper int roduced g - Φ -contr act ive ty pe fuzzy mapping s. T he common f ixed point theorems of this sequence of fuzzy mapping ar e studied, o ur theor ems impro ve and gener alize the corr espo nding resul ts and it can be applied in system eng ineer ing .

References:

1 Heilpern S .Fu zzy mappings an d f ixed poin t theor em. J Math Anal App l, 1983, 83: 566~569
2 Ch ang S S. Fixed degree f or fuzzy mapp ings and a general izat ion of k y Far’ s th eorem. Fuzzy Set s an d Systems , 1987, 24: 103~112
3 Lee B S, C ho S J. Comm on f ixed point theorems f or s equences of fuzz y mappings . In t J M ath & Math Sci,1994, 17( 3) : 423~428
4 Lee B S , Lee G M ,C ho S J, Kim D S . Gen eralized common f ixed p oin t theorem s for a sequ ence of fuzzy mappings . In t J Math & Math S ci, 1994, 17( 3) : 437~440
5 Nadl er Jr S B. Mul ti-valued cont ract ion mapp ings pacif ic. J Math, 1969, 30: 475~488

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Memo:
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Last Update: 2013-03-29