论文信息 - Fixed points of uniformly lipschitzian mappings

Fixed points of uniformly lipschitzian mappings

Abstract Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lifsic and to T.-C. Lim and H.-K. Xu, are compared within the framework of the so-called CAT(0) spaces. It is shown that both results apply in this setting, and that Lifsic’s theorem gives a sharper result. Also, a new property is introduced that yields a fixed point theorem for uniformly lipschitzian mappings in a class of hyperconvex spaces, a class which includes those possessing property ( P ) of Lim and Xu.

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