Fixed Point Theorems for Lipspchitzian Semigroups
1989 ◽
Vol 32
(1)
◽
pp. 90-97
◽
Keyword(s):
AbstractLet U be a nonempty subset of a Banach space, S a left reversible semitopological semigroup, a continuous representation of S as lipschitzian mappings on U into itself, that is for each s ∊ S, there exists ks > 0 such that for x, y ∊ U. We first show that if there exists a closed subset C of U such that then S with lim sups has a common fixed point in a Hilbert space. Next, we prove that the theorem is valid in a Banach space E if lim sups
2018 ◽
Vol 5
(2)
◽
pp. 75-79
Keyword(s):
2003 ◽
Vol 16
(3)
◽
pp. 243-248
◽
2016 ◽
Vol 24
(2)
◽
pp. 27-43
◽
1995 ◽
Vol 18
(4)
◽
pp. 813-818
Keyword(s):
1999 ◽
Vol 4
(1)
◽
pp. 49-59
◽