A fixed point theorem revisited

Alberta Bollenbacher, T. L. Hicks

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

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
Volume102
Issue number4
DOIs
StatePublished - Apr 1988
Externally publishedYes

Keywords

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

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