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On fixed points of zero
index in asymptotic fixed point theory
Christian C. Fenske and Heinz-Otto Peitgen |
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Vol. 66 (1976), No. 2, 391–410
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Abstract |
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The fixed point theory for mappings of compact attraction type is used to obtain some new asymptotic fixed point theorems. These investigations have been motivated by the properties of ejective and attractive fixed points. SpeciaI emphasis is given to those situations where the fixed points are of zero index. The generality of the approach admits the useful formula ind (X,f,F) = Λ(f,X) − Λ(f,X∖F) which allows the computation of the index ofF ⊂ Fix (f : X → X) in terms of Lefschetz numbers. |
Mathematical Subject Classification
Primary: 55C20, 55C20
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Milestones
Received: 7 January 1976
Published: 1 October 1976
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Authors |
| Christian C. Fenske | |
| Heinz-Otto Peitgen | |
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