Maximal elements of condensing preference maps

AbstractWe use the methods of nonliner analysis [1–4] to prove the existence of a maximal element for a class of preference maps defined on a closed, bounded, and convex, but not necessarily compact, subset of a Banach space

Order extension of order monomorphisms on a preordered topological space

This paper proves Nachbin-type extension theorems for infinitely many functions on a topological space equipped with a preorder

Continuous utility functions

This paper gives a set of necessary and sufficient conditions for the existence of a continuous utility function on an ordered topological space