Fat equicontinuous groups of homeomorphisms of linear topological spaces and their application to the problem of isometries in linear metric spaces
In this paper, we extend several concepts from geometry of Banach spaces to modular spaces. With a careful generalization, we can cover all corresponding results in the former setting. Main result we prove says that if is a convex, -complete modular space satisfying the Fatou property and -uniformly convex for all , C a convex, -closed, -bounded subset of , a -nonexpansive mapping, then has a fixed point.