On fixed points of zero index in asymptotic fixed point theory

Abstract

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. Special 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) = (/,X)-(/,X\F) which allows the computation of the index of FC Fix (/: X-> X) in terms of Lefschetz numbers.