Common fixed points of two nonexpansive mappings in Banach spaces
نویسندگان
چکیده
منابع مشابه
On 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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Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a nonempty closed convex subset of E. Suppose that T, S : K → K are two nonexpansive mappings such that F := F (ST ) = F (T ) ∩ F (S) = ∅. For arbitrary initial value x0 ∈ K and fixed anchor u ∈ K, define iteratively a sequence {xn} as follows: { yn = βnxn + (1− βn)Txn xn+...
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* Correspondence: [email protected] Department of Mathematics, Ataturk University, Erzurum 25240, Turkey Full list of author information is available at the end of the article Abstract In this article, we first give a multivalued version of an iteration scheme of Agarwal et al. We use an idea due to Shahzad and Zegeye which removes a “strong condition” on the mapping involved in the ite...
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: 2004
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700034213