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Fixed Point Theorem for Fuzzy Mappings in Local H Convex Spaces(PDF)

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

Issue:
1997年04期
Page:
90-93
Research Field:
Publishing date:

Info

Title:
Fixed Point Theorem for Fuzzy Mappings in Local H Convex Spaces
Author(s):
Shi Chuan
School of Sciences, NUST, Nanjing 210094
Keywords:
fuzzy systems fuzzy set s fuzzy mapping s f ix ed point theo rem
PACS:
O159
DOI:
-
Abstract:
In 1988, Bardaro and Ceppitelli brought fo rw ard the concept of H -space and studied fix ed point theorems. In 1994, Chang S S and Xiang Shuw en brought fo rw ard the co ncept of local H -co nvex spaces and studied f ixed point theo rems, but their r esearch didnpt concern the fuzziness pro blem. T his paper brought fo rw ar d fuzzy mapping and the fix ed point theo rems o f fuzzy mapping in local H -co nvex spaces, three fix ed point theorems of fuzzy mapping s ar e created w ithout using the KKM theorem. T hese theorems unify and ex tend Brouwer, Schauder, Browder, Tarafdar fix ed point theorems, mor eov er unify and extend some r ecent important result s.

References:

1 张石生, 向淑文. 局部H -凸空间及其不动点定理. 数学研究与评论, 1994, 14( 4) : 561~564
2 Butnariu D. Fix ed point s fo r fuzzy mappings. Fuzzy Sets and Systems. 1982, 7: 191~207
3 石川. 几类fuzzy 映象的不动点定理. 南京理工大学学报, 1996, 20( 1) : 79~82
4 Ho rv ath C. In nonlincar and convex a nalysis. Lecture Notes in Pure and Applied Mathematical Series, 1987, 107: 1032~1036

Memo

Memo:
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Last Update: 2013-03-29