科研之友
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摘要
Let (X, rho) be a complete R-tree, and suppose T : X -> X has bounded orbits and satisfies for all n is an element of N sufficiently large,
rho(T(n)x,T(n)y) <= k(n)rho(x,y),
for all x,y is an element of X. A. Aksoy and M. A. Khamsi [Sci. Math. Jpn. 65(2007), 31-41, e:2006, 1143-1153] have shown that if sup(n ->infinity) k(n), < 2 then T has a fixed point. The main result of this paper shows that if, in addition, T is assumed to be continuous, then it suffices merely to assume that lim sup(n ->infinity) k(n)< infinity).
- 出版日期2015
