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Fixed-point property

Known as: Fixed point property 
A mathematical object X has the fixed-point property if every suitably well-behaved mapping from X to itself has a fixed point. The term is most… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2002
2002
Recently geometric independent component analysis (ICA) has been generalized to overcomplete cases (overcomplete geoICA) with… Expand
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1997
1997
We are concerned with the question of whether a noncompact space with a nice local structure contains a ray, i.e.,a closed… Expand
1997
1997
It is shown that in Banach spaces with the property (M) of Kalton, nonexpansive self mappings of nonempty weakly compact convex… Expand
1993
1993
Let X1 and X2 be Banach spaces, and let X1 x X2 be equipped with the 11 -norm. If the first space X1 is uniformly convex in every… Expand
1985
1985
We show that the fixed point property is comparability invariant for finite ordered sets; that is, if P and Q are finite ordered… Expand
Highly Cited
1981
Highly Cited
1981
In this note we give an example of a weakly compact convex subset of LJ[O, 11 that fails to have the fixed point property for… Expand
Highly Cited
1979
Highly Cited
1979
We exhibit a con- struction of the LFP, generalizing the Knaster-Tarski formula lub(F”(O)},,, : lubs are substituted by well… Expand
Highly Cited
1973
Highly Cited
1973
Let C be a closed convex subset of the Banach space X. A subset F of C is called a nonexpansive retract of C if either F = 0 or… Expand
Highly Cited
1972
Highly Cited
1972
ABSTRACT. Given a bounded sequence {un: n = 1,2,...} of points in a closed convex subset C of a uniformly convex Banach space, cm… Expand
Highly Cited
1959
Highly Cited
1959
In this note relations between the fixed point property and compactness are studied and it is shown that the fixed point property… Expand