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.
|Journal||Fixed Point Theory and Applications|
|Publication status||Published - 2007|
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics