Fixed point theorems for nonexpansive mappings in a locally convex space
نویسندگان
چکیده
منابع مشابه
Fixed Point Theorems for a Semigroup of Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces
In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results announced by other authors.
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متن کاملFixed Point Theorems for Nonexpansive Mappings Satisfying Certain Boundary Conditions1
Let K be a bounded closed convex subset of a Banach space X with int K 40, and suppose K has the fixed point property with respect to nonexpansive self-mappings (i.e., mappings U: K^K such that \\U(x) U(y)\\ < ||* y||, x,y € K). Let T: K -X be nonexpansive and satisfy inf{||* T(x)\\: x e boundary K, T'x) /Kl > 0. It is shown that if in addition, either (i) T satisfies the Leray-Schauder boundar...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1979
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700010820