Skip to search formSkip to main contentSkip to account menu

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… 
Wikipedia (opens in a new tab)

Related topics

Related topics

4 relations
Brouwer fixed-point theoremConvex setFixed point (mathematics)Fixed-point theorem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
Normal Structure and Common Fixed Point Properties for Semigroups of Nonexpansive Mappings in Banach Spaces
In 1965, Kirk proved that if is a nonempty weakly compact convex subset of a Banach space with normal structure, then every… 
2008
2008
A GENERAL CLASS OF CONTRACTIONS: A-CONTRACTIONS
In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R… 
2008
2008
THE FIXED POINT PROPERTY IN CONVEX MULTI-OBJECTIVE OPTIMIZATION PROBLEM
In this paper we study the Pareto-optimal solutions in convex multi-objective optimization with compact and convex feasible… 
2005
2005
A Curve with the Fixed Point Property whose Cylinder admits a Fixed Point Free Map
We construct a curve, i.e., a one-dimensional metric continuum, which has the fixed point property but its product by the… 
2004
2004
WEAK COMPACTNESS IS EQUIVALENT TO THE FIXED POINT PROPERTY IN c0
A nonempty, closed, bounded, convex subset of c0 has the fixed point property if and only if it is weakly compact. 
2002
2002
A Theoretical Framework for Overcomplete Geometric BMMR
Recently geometric independent component analysis (ICA) has been generalized to overcomplete cases (overcomplete geoICA) with… 
Highly Cited
2000
Highly Cited
2000
The Knaster-Kuratowski and Mazurkiewicz theroy in hyperconvex metric spaces and some of its applications
1994
1994
On spirals and fixed point property
We study the famous examples of G. S. Young [7] and R. H. Bing [2]. We generalize and simplify a little their constructions… 
1993
1993
A fixed point property of ₁-product spaces
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… 
1992
1992
The PT-order and the fixed point property
The PT-order, or passing through order, of a poset P is a quasi order ⊴ defined on P so that a⊴b holds if and only if every… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)