Various types of 𝜙A-spaces (X, D; {𝜙A}A∈〈D〉) are simply G-convex spaces. Various types of generalized KKM maps on 𝜙A-spaces are simply KKM maps on G-convex spaces. Therefore, our G-convex space theory can be applied to various types of 𝜙A-spaces. As such examples, we obtain KKM type theorems and a very general fixed point theorem on 𝜙A-spaces.
@article{1484,
title = {Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1484}
}
Park, Sehie. Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1484/