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…

Papers overview

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2010

In 1965, Kirk proved that if is a nonempty weakly compact convex subset of a Banach space with normal structure, then every…

2008

In this paper we study the Pareto-optimal solutions in convex multi-objective optimization with compact and convex feasible…

2008

In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R…

2006

In this paper we present some equivalent statements with the fixed point property of a metric space with respect to contractions…

2004

A nonempty, closed, bounded, convex subset of c0 has the fixed point property if and only if it is weakly compact.

2002

Recently geometric independent component analysis (ICA) has been generalized to overcomplete cases (overcomplete geoICA) with…

2001

Let C be a nonempty, bounded, closed and convex subset of a Banach space X andlet T : C —> C be a nonexpansive mapping, that is…

1994

We study the famous examples of G. S. Young [7] and R. H. Bing [2]. We generalize and simplify a little their constructions…

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…

1975

It is shown that continua which are arcwise connected and contain no simple closed curves have the fixed point property for…