On the fixed points of commuting nonexpansive maps in hyperconvex 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...
متن کاملHyperconvex Spaces and Fixed Points
New fixed point results for a very general class of maps on hyperconvex spaces are given. Our theory relies on the fact that hyperconvex compact spaces are absolute retracts. Also maps on k-CAR sets are discussed. 2000 Mathematics Subject Classification: 47H10.
متن کاملOthogonality and Fixed Points of Nonexpansive Maps
The concept of weakorthogonality for a Banach lattice is examined. A proof that in such a lattice non expansive self maps of a non empty weakly compact convex set have fixed points is outlined. A geometric generalization of weakorthogonality is introduced and related to the Opial condition. AMS subject classification: 47H10
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...
متن کاملSub-Compatible Maps, Weakly Commuting Maps and Common Fixed Points in Cone Metric Spaces
The purpose of this paper is to obtain some common fixed point theorems under weaker conditions such as sub compatible mappings and weakly commuting with respect g in the setting of non normal cone metric space.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1992
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90165-a