MONOTONIC ANALYSIS: SOME RESULTS OF INCREASING AND POSITIVELY HOMOGENEOUS FUNCTIONS

The theory of increasing and positively homogeneous (IPH) functions defined on a convex cone in a topological vector space X, is well developed. In this article, we present necessary and sufficient conditions for the minimum of the difference of strictly IPH functions defined on X.We study convergence of sequences of increasing positively homogeneous (IPH) functions defined on X.