Fixed Points and Continuity for Multivalued Mappings

Troy Hicks, B. E. Rhoades

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Many of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings.

Original languageEnglish
Pages (from-to)15-30
Number of pages16
JournalInternational Journal of Mathematics and Mathematical Sciences
Issue number1
StatePublished - 1992
Externally publishedYes


  • Continuity
  • fixed point
  • multivalued mapping


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