Remarks on fixed point sets

Kazimierz Goebel


Working for many years on the fixed point theory I came across several original questions asked by the newcomers to the field and young researchers. Answering very often required constructions of various examples. Here, samples are recalled, answered and discussed. Presented examples concern geometrical and topological properties of the fixed point sets of mappings satisfying certain regularity conditions. If known, are formulated and shown with some modifications and novelties.

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