AbstractWe propose a new approach towards proving that the fixed point property for ordered sets is preserved by products. This approach uses a characterization of fixed points in products via isotone relations. First explorations of classes of isotone relations are presented. These first explorations give us hope that this approach could lead to advances on the Product Problem
AbstractIt is proved that the fixed point property is a comparability invariant for the class of cha...
In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant...
AbstractReconstruction questions arise when studying interactions between the isomorphic type of a s...
AbstractWe propose a new approach towards proving that the fixed point property for ordered sets is ...
AbstractA strengthened form of the fixed point property for posets is presented, in which isotone fu...
AbstractFixed point theorems for G-isotone mappings, which extend some recent results for mixed mono...
The ordered sets field is an important part of the ongoing mathematical, algorithmic and combinatori...
In a recent paper Xie et al. (Fixed Point Theory Appl. 2013:192, 2013) gave several extensions and s...
A known theorem of R.M. Dacic [Common fixed points and fixed edges for monotone mappings in posets, ...
AbstractThis survey exhibits various algorithms to decide the question if a given ordered set P has ...
We establish common fixed point theorems for a family of isotone selfmaps of a poset by generalizing...
AbstractFor cycle-free ordered sets, the ratio |Aut(P)|/|End(P)| converges to zero as |P| goes to in...
AbstractXia's algorithm consists of a reduction algorithm and a translation procedure both originall...
provide the notation and terminology for this paper. One can prove the following propositions: (1) 2...
This chapter gives an overview how retractions are used to prove fixed point results in ordered sets...
AbstractIt is proved that the fixed point property is a comparability invariant for the class of cha...
In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant...
AbstractReconstruction questions arise when studying interactions between the isomorphic type of a s...
AbstractWe propose a new approach towards proving that the fixed point property for ordered sets is ...
AbstractA strengthened form of the fixed point property for posets is presented, in which isotone fu...
AbstractFixed point theorems for G-isotone mappings, which extend some recent results for mixed mono...
The ordered sets field is an important part of the ongoing mathematical, algorithmic and combinatori...
In a recent paper Xie et al. (Fixed Point Theory Appl. 2013:192, 2013) gave several extensions and s...
A known theorem of R.M. Dacic [Common fixed points and fixed edges for monotone mappings in posets, ...
AbstractThis survey exhibits various algorithms to decide the question if a given ordered set P has ...
We establish common fixed point theorems for a family of isotone selfmaps of a poset by generalizing...
AbstractFor cycle-free ordered sets, the ratio |Aut(P)|/|End(P)| converges to zero as |P| goes to in...
AbstractXia's algorithm consists of a reduction algorithm and a translation procedure both originall...
provide the notation and terminology for this paper. One can prove the following propositions: (1) 2...
This chapter gives an overview how retractions are used to prove fixed point results in ordered sets...
AbstractIt is proved that the fixed point property is a comparability invariant for the class of cha...
In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant...
AbstractReconstruction questions arise when studying interactions between the isomorphic type of a s...
DOI
Add to ORKG