Remarks on extensions of the himmelberg fixed point theorem

Hidetoshi Komiya, Sehie Park

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Recently, Jafari and Sehgal obtained an extension of the Himmelberg fixed point theorem based on the Kakutani fixed-point theorem. We give generalizations of the extension to almost convex sets instead of convex sets. We also give generalizations for a large class ℬ of better admissible multimaps instead of the Kakutani maps. Our arguments are based on the KKM principle and some of previous results due to the second author.

Original languageEnglish
Article number16028
JournalFixed Point Theory and Applications
Volume2007
DOIs
Publication statusPublished - 2007
Externally publishedYes

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Convex Sets
Fixed point theorem
Multimap (map)
Generalization
Class

ASJC Scopus subject areas

  • Applied Mathematics
  • Geometry and Topology

Cite this

Remarks on extensions of the himmelberg fixed point theorem. / Komiya, Hidetoshi; Park, Sehie.

In: Fixed Point Theory and Applications, Vol. 2007, 16028, 2007.

Research output: Contribution to journalArticle

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