Tyt. z nagł.Abstract. In this this paper we survey most important results from topological fixed point theory which can be directly applied to differential equations. Some new formulations are presented. We believe that our article will be useful for analysts applying topological fixed point theory in nonlinear analysis and in diffrential equations. Keywords: Lefschetz number, ﬁxed points, CAC-maps, condensing maps, ANR-spaces, ﬁxed point index
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