منابع مشابه
Mappings into Hyperbolic Spaces
In this note we state some results on extensions of holomorphic mapings into hyperbolic spaces. A theorem involves extending holomorphic mappings to a domain of holomorphy. An extension problem of holomorphic mappings into a taut complex space was considered by Fujimoto [1]. Another result is that the space of all meromorphic mappings from a complex space X into a hyperbolically imbedded space ...
متن کاملGeneralized α-nonexpansive mappings in Banach spaces
We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order . This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type generalized nonexpansive mappings and partially extends α-nonexpansive mappings. We obtain some existence theorems and weak and strong convergence theorems for the Mann iteration. Some ...
متن کاملk LIPSCHITZIAN NONEXPANSIVE MAPPINGS IN BANACH SPACES
Let E be a real Banach space with uniformly Gâteaux differentiable norm possessing uniform normal structure. K is a nonempty bounded closed convex subset of E, and { } ( ) ... , 2 , 1 = n Tn is a sequence of − n k Lipschitzian nonexpansive mappings from K into itself such that 1 lim = ∞ → n n k and ( ) 0 1 / ≠ ∞ = n n T F ∩ and f be a contraction on K. Under sutiable conditions on sequence { },...
متن کاملHyperbolic and Uniform Domains in Banach Spaces
A domain G in a Banach space is said to be δ-hyperbolic if it is a Gromov δ-hyperbolic space in the quasihyperbolic metric. Then G has the Gromov boundary ∂∗G and the norm boundary ∂G. We show that the following properties are quantitatively equivalent: (1) G is C-uniform. (2) G is δ-hyperbolic and there is a natural bijective map G ∪ ∂∗G → G ∪ ∂G, which is η-quasimöbius rel ∂∗G. (3) G is δ-hyp...
متن کاملOn fixed points of fundamentally nonexpansive mappings in Banach spaces
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and con...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1998
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700032512