Fixed Point in Minimal Spaces
2005 ◽
Vol 10
(4)
◽
pp. 305-314
◽
Keyword(s):
This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x and f(x) belong to a common Bα. Further, it is shown that if (X,M) has the fixed point property, then its minimal retract subset enjoys this property.
Keyword(s):
1978 ◽
Vol 30
(4)
◽
pp. 673-699
◽
Keyword(s):
2018 ◽
Vol 72
(2)
◽
pp. 41
Keyword(s):
2019 ◽
Vol 14
(3)
◽
pp. 311
◽
2011 ◽
Vol 158
(8)
◽
pp. 1085-1089
◽
1960 ◽
Vol 34
(1)
◽
pp. 1-16
◽
2010 ◽
Vol 157
(10-11)
◽
pp. 1804-1814
◽