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A fixed point theorem for α-condensing maps on a sphere*
Published online by Cambridge University Press: 14 November 2011
Synopsis
This paper shows that if S is a sphere in a Banach space and f: S → S is an α-contraction, then f has a fixed point. The paper generalizes a result of R. D. Nussbaum which holds for α-contractions only. The proof uses the Browder nonrepulsive fixed point theorem and is motivated by recent work of M. Martelli and G. D. Cooperman.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 3-4 , 1983 , pp. 323 - 329
- Copyright
- Copyright © Royal Society of Edinburgh 1983
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