An extension of the Borsuk antipodal fixed point theory with essential maps
Year: 2026
Type: article
Abstract: In this paper we first present new essential map type results for Kakutani maps satisfying certain antipodal type conditions on the boundary of a set. This enables us to obtain some new fixed point results for maps with an inclusion property satisfying some antipodal type conditions on the boundary of a set. In particular we use new antipodal type conditions to discuss essentiality and the existence of fixed points for general classes of maps which have a continuous or upper semicontinuous selection property.
Source: Mathematics Open
Author: Donal O'Regan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7225421970