On solvability theorems of Leontief-type input-output inclusions

Abstract

In this paper, a Leontief-type input-output inclusion problem is studied. Solvability results are obtained by making use of a Rogalski-Cornet-type surjectivity theorem that was recently proved by the authors under no continuity assumptions. Stability analysis for the solution set is provided in terms of upper semi-continuity and hemi-continuity of set-valued maps.