Fixed degree and fixed point theorems for fuzzy mappings in probabilistic metric spaces

被引:14
|
作者
Chang, SS
Cho, YJ
Lee, BS
Lee, GM
机构
[1] KYUNGSUNG UNIV,DEPT MATH,PUSAN 608736,SOUTH KOREA
[2] SICHUAN UNIV,DEPT MATH,CHENGDU 610064,PEOPLES R CHINA
[3] GYEONGSANG NATL UNIV,COLL EDUC,DEPT MATH,CHINJU 660701,SOUTH KOREA
[4] PUSAN NATL UNIV TECHNOL,DEPT NAT SCI,PUSAN 608739,SOUTH KOREA
关键词
analysis; fuzzy sets; membership function; fixed degree for a fuzzy mapping; fixed point for a fuzzy mapping; probabilistic metric space;
D O I
10.1016/0165-0114(95)00373-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper introduces the concept and properties of fixed degrees for fuzzy mappings in probabilistic metric spaces. By virtue of this concept, some theorems about common fixed degree of a sequence of fuzzy mappings in probabilistic metric spaces are obtained. These new results are a unified approach to generalize several fixed point theorems for fuzzy mappings. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:325 / 334
页数:10
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