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- W2602413360 abstract "Any orientation-preserving homeomorphism of the plane having a twocycle has also a fixed point. This well known result does notprovide any hint on how to locate the fixed point, in principle itcan be anywhere. J. Campos and R. Ortega in {it Location of fixedpoints and periodic solutions in the plane} consider the class ofLipschitz-continuous maps and locate a fixed point in the regiondetermined by the ellipse with foci at the two cycle andeccentricity the inverse of the Lipschitz constant. It will beshown that this region is not optimal and a sub-domain can beremoved from the interior. A curious fact is that the ellipsementioned above is relevant for the optimal location of fixedpoint in a neighbourhood of the minor axis but it is of norelevance around the major axis." @default.
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- W2602413360 date "2011-04-23" @default.
- W2602413360 modified "2023-09-27" @default.
- W2602413360 title "Location of fixed points in the presence of two cycles" @default.
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