A fuzzy fixed-point theorem and its applications to maximal elements and Nash equilibria in noncompact CAT(0) spaces
Keyword(s):
In this paper, based on the KKM method, we prove a new fuzzy fixed-point theorem in noncompact CAT(0) spaces. As applications of this fixed-point theorem, we obtain some existence theorems of fuzzy maximal element points. Finally, we utilize these fuzzy maximal element theorems to establish some new existence theorems of Nash equilibrium points for generalized fuzzy noncooperative games and fuzzy noncooperative qualitative games in noncompact CAT(0) spaces. The results obtained in this paper generalize and extend many known results in the existing literature.
2014 ◽
Vol 587-589
◽
pp. 2279-2284
1983 ◽
Vol 12
(3)
◽
pp. 181-191
◽
1952 ◽
Vol 3
(1)
◽
pp. 170
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 2012
(1)
◽
Keyword(s):
2010 ◽
Vol 01
(01)
◽
pp. 40-45
Keyword(s):
1992 ◽
Vol 46
(2)
◽
pp. 205-212
◽