The deficiencies of the theories that characterize the maximal compact invariant set of T as asymptotically stable, and that some iterate of T has a fixed point are discussed. It is shown that this fixed point condition is always satisfied for condensing and local dissipative T. Applications are given to a class of neutral functional differential equations.
Fixed point theorems and dissipative processes.
Published 1973 in Journal of Differential Equations
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- Publication year
1973
- Venue
Journal of Differential Equations
- Publication date
1973-03-01
- Fields of study
Mathematics
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Semantic Scholar
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