A fixed point theorem revisited

Alberta Bollenbacher, T. L. Hicks

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A version of a theorem commonly referred to as Caristi's Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach's fixed point theorem. Several examples illustrate the diversity that can occur.

Original languageEnglish
Pages (from-to)898-900
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number4
StatePublished - Apr 1988
Externally publishedYes


  • Banach's theorem
  • Caristi's theorem
  • Fixed point theorem


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