We unveil new results based on measurement that guarantee the existence of unique xed points which need not be maximal. In addition, we establish that least xed points are always attractors in the topology, and then explore the consequences of these ndings in analysis. In particular, an extension of the Banach xed point theorem on compact metric spaces 3] is obtained.

The relationship between xed point theory and K {theory is explained, both classical Nielsen theory (versus K 0) and 1{parameter xed point theory (versus K 1). In particular, various zeta functions associated with suspension ows are shown to come in a natural way as \traces" of \torsions" of Whitehead and Reidemeister type.

T his paper pos i ti ons humanoi d r es e ar ch as an appr oach t o under s t anding and r eal i z i ng com ple x r eal w or l d interactions between a robot, an environment, and a human. As a f i rs t s t ep t owar ds ex t r act i ng a com mon pr i nci pl e over t he t hr ee t er m i nt er act i ons , a conc ept of act i on or i ent ed cont r ol has bee n i nve s ti gat ed w it h a s i mul ati...

The square root function has a unique positive ¿xed point. This function has the following properties: it is strictly increasing and strictly concave, with sEf ' f, sE@ : @ for @ , and sEK K for K : . It is shown that any function from U to U satisfying these properties has a unique positive ¿xed point.

Ce manuscrit présente une synthèse de mon projet scientifique afin de préparer le diplôme d’Habilitation à Diriger des Recherches (HDR). Il est l’occasion de faire le point sur un travail scientifique depuis ma soutenance de thèse en 2003. La première partie résume ce parcours : le Chapitre 1 présente mon CV détaillé, tandis que le Chapitre 2 comprend une synthèse du travail accompli, puis déve...

The Ca na dian Cor dil lera, where the Juan de Fuca oce anic plate is cur rently be ing subducted be neath the North Amer i can con ti nent, is com prised of oce anic and is land arc ter ranes accreted to the west ern edge of an ces tral North Amer ica since the Neoproterozoic (Gabrielse and Yorath, 1991; Mon ger et al., 1972; Mon ger and Price, 1979; Mon ger et al., 1982). The Me so zoic Necha...

In this paper we underline the importance of the parametric subregularity property of setvalued mappings, de…ned with respect to …xed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, on...

We present global and local algorithms for evaluating minimal xed points of dependency graphs, a general problem in xed-point computation and model checking. Our algorithms run in linear-time, matching the complexity of the best existing algorithms for similar problems, and are simple to understand. The main novelty of our global algorithm is that it does not use the counter and \reverse list" ...

The breakdown point behavior of M-estimators in linear models with xed designs, arising from planned experiments or qualitative factors, is characterized. Particularly, this behavior at xed designs is quite diierent from that at designs which can be corrupted by outliers|the situation prevailing in the literature. For xed designs, the breakdown points of robust M-estimators (those with bounded ...