We present some fixed point theorems for planar maps which satisfy a property of path–expansion along a certain direction. We also show some links between these fixed point theorems and other recent results about covering relations and topological horseshoes.
Pireddu, M., Zanolin, F. (2007). Some remarks on fixed points for maps which are expansive along one direction. RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE, 39, 245-274.
Some remarks on fixed points for maps which are expansive along one direction
PIREDDU, MARINA;
2007
Abstract
We present some fixed point theorems for planar maps which satisfy a property of path–expansion along a certain direction. We also show some links between these fixed point theorems and other recent results about covering relations and topological horseshoes.
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