On the closedness of sets with the fixed point property for contractions

Authors

  • Mira-Cristiana Anisiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy
  • Valeriu Anisiu "Babeş Bolyai" University, Cluj-Napoca, Romania

Keywords:

fixed point property, complete metric spaces, Banach spaces

Abstract

It is proved by examples that there exist (connected) non-closed sets with the fixed point property for contractions in complete metric spaces. In a Banach space, a convex set with nonvoid interior having the fixed point property for contractions is necessarily closed.

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Published

1997-08-01

How to Cite

Anisiu, M.-C., & Anisiu, V. (1997). On the closedness of sets with the fixed point property for contractions. Rev. Anal. Numér. ThéOr. Approx., 26(1), 13-17. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art2

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Articles