|Table of Contents|

Caristi Type Common Fuzzy Hybrid Fixed Point Theorems in M PM spaces(PDF)

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

Issue:
1998年04期
Page:
80-83
Research Field:
Publishing date:

Info

Title:
Caristi Type Common Fuzzy Hybrid Fixed Point Theorems in M PM spaces
Author(s):
Shi Chuan
School of Sciences, NUST, Nanjing 210094
Keywords:
sy stems eng ineer ing fuzzy systems fuzzy contr ol theory fuzzy mapping s fix ed-point theorem
PACS:
O231,O159
DOI:
-
Abstract:
T o supply the r equirement o f fuzzy system engineering, the concept of fuzzy mapping is intr oduced and the f ixed point theo rems of fuzzy mappings are studied. Because Carist i f ixed po in theorem does not r equire the continuity of the mapping , it f inds applicatio ns in many f ields. This paper put forward the concept o f Caristi type comnio n fuzzy hybr id f ixed point in M-PM-spaces, gave a fuzzy hybrid f ix ed po int theorem and a common fuzzy hybrid fix ed point theo rem, the result s presented in this paper unified and ex tend Carist i′s f ix ed point theor em and some recent impo rtant g eneralizatio ns. and it can be applied in system engineering .

References:

1 石川. Menger 概率度量空间中Ca risti 型混合不动点定理. 应用数学与力学, 1997, 18( 2) : 185~192
2 Car isti J. Fix ed po int theor ems for mapping s sat isfying inwa rdness conditio ns, Tr ans Amer M ath. So c. , 1976, ( 215) : 241~251
3 张石生, 黄南京, 石川. 概率度量空间集值Car isti 定理. 四川大学学报, 1993, 30( 10: 12~16

Memo

Memo:
-
Last Update: 2013-03-29