Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 572451, 13 pages
doi:10.1155/2010/572451
Research Article

A Leontief-Type Input-Output Inclusion

Yingfan Liu1 and Qinghong Zhang2

1College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
2Department of Mathematics and Computer Science, Northern Michigan University, Marquette,MI 49855, USA

Received 13 January 2010; Accepted 10 April 2010

Academic Editor: Fernando Lobo Pereira

Copyright © 2010 Yingfan Liu and Qinghong Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A Leontief-type input-output inclusion problem based on a set-valued consuming map is studied. By applying nonlinear analysis approach, in particular using the surjection and continuity technique with respect to set-valued maps, solvability and stability results with and without continuity assumption concerning this inclusion are obtained.