A variant of a fixed point theorem of Browder-Fan and Reich
1985 ◽
Vol 8
(4)
◽
pp. 693-696
Keyword(s):
LetSbe a convex, weakly compact subset of a locally convex Hausdorff space(E,τ)andf:S→Ebe a continuous multifunction from its weak topologyωtoτ. letρbe a continuous seminorm on(E,τ)and for subsetsA,BofEletp(A,B)=inf{p(x−y):x ϵ A, y ϵ B}. In this paper, sufficient conditions are developed for the existence of anx ϵ Ssatisfyingp(x,fx)=p(fx,S). The result is then used to prove several fixed point theorems.
2011 ◽
Vol 04
(03)
◽
pp. 373-387
◽
2016 ◽
Vol 09
(04)
◽
pp. 1650082
Keyword(s):
1992 ◽
Vol 44
(4)
◽
pp. 784-796
◽
1979 ◽
Vol 85
(2)
◽
pp. 305-313
1994 ◽
Vol 17
(4)
◽
pp. 681-686
◽
2018 ◽
pp. 502
◽