Uniformly supported sets and fixed points properties
نویسندگان
چکیده
منابع مشابه
On Fixed Points and Uniformly Convex Spaces
The purpose of this note is to present two elementary, but useful, facts concerning actions on uniformly convex spaces. We demonstrate how each of them can be used in an alternative proof of the triviality of the first Lp-cohomology of higher rank simple Lie groups, proved in [1]. Let G be a locally compact group with a compact generating set K ∋ 1, and let X be a complete Busemann non-positive...
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In 1974, Lim 1 developed a result concerning the existence of fixed points for multivalued nonexpansive self-mappings in uniformly convex Banach spaces. This result was extended to nonself-mappings satisfying the inwardness condition independently by Downing and Kirk 2 and Reich 3 . This result was extended to weak inward mappings independently by Lim 4 and Xu 5 . Recently, Dhompongsa et al. 6 ...
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Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lif̌sic 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 Lif̌sic’s theorem gives a sharper result. Also, a new property is introduced that yields a fixed point theorem for uniformly lipsc...
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ژورنال
عنوان ژورنال: Carpathian Journal of Mathematics
سال: 2020
ISSN: 1843-4401,1584-2851
DOI: 10.37193/cjm.2020.03.03