Uniformly contractive fixed points in compact metric spaces

Author:

Leader Solomon

Abstract

Let f f be a continuous self-map on a compact metric space. Equivalent conditions are given for the existence of a uniformly contractive fixed point w ( f n x w w({f^n}x \to w uniformly for all x x ). Corollaries give sufficient conditions for uniformly contractive fixed points subsuming some known results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

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2. On fixed and periodic points under contractive mappings;Edelstein, M.;J. London Math. Soc.,1962

3. A fixed-point theorem for compact metric spaces;Fisher, B.;Publ. Math. Debrecen,1978

4. New generalizations of Banach’s contraction principle;Hegedűs, M.;Acta Sci. Math. (Szeged),1980

5. Edelstein’s contractivity and attractors;Janos, Ludvik;Proc. Amer. Math. Soc.,1979

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