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Title: Generalized Input-Output Inequality Systems

Abstract

In this paper two types of generalized Leontief input-output inequality systems are introduced. The minimax properties for a class of functions associated with the inequalities are studied. Sufficient and necessary conditions for the inequality systems to have solutions are obtained in terms of the minimax value. Stability analysis for the solution set is provided in terms of upper semi-continuity and hemi-continuity of set-valued maps.

Authors:
 [1];  [2]
  1. Department of Mathematics, Nanjing University of Post and Telecommunications, Nanjing 210009 (China), E-mail: yingfanliu@hotmail.com
  2. Department of Mathematics and Computer Science, Northern Michigan University, Marquette, MI 49855 (United States), E-mail: qzhang@nmu.edu
Publication Date:
OSTI Identifier:
21067417
Resource Type:
Journal Article
Journal Name:
Applied Mathematics and Optimization
Additional Journal Information:
Journal Volume: 54; Journal Issue: 2; Other Information: DOI: 10.1007/s00245-006-0858-1; Copyright (c) 2006 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0095-4616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FUNCTIONS; MAPS; MATHEMATICAL SOLUTIONS; STABILITY

Citation Formats

Liu Yingfan, and Zhang Qinghong. Generalized Input-Output Inequality Systems. United States: N. p., 2006. Web. doi:10.1007/S00245-006-0858-1.
Liu Yingfan, & Zhang Qinghong. Generalized Input-Output Inequality Systems. United States. https://doi.org/10.1007/S00245-006-0858-1
Liu Yingfan, and Zhang Qinghong. 2006. "Generalized Input-Output Inequality Systems". United States. https://doi.org/10.1007/S00245-006-0858-1.
@article{osti_21067417,
title = {Generalized Input-Output Inequality Systems},
author = {Liu Yingfan and Zhang Qinghong},
abstractNote = {In this paper two types of generalized Leontief input-output inequality systems are introduced. The minimax properties for a class of functions associated with the inequalities are studied. Sufficient and necessary conditions for the inequality systems to have solutions are obtained in terms of the minimax value. Stability analysis for the solution set is provided in terms of upper semi-continuity and hemi-continuity of set-valued maps.},
doi = {10.1007/S00245-006-0858-1},
url = {https://www.osti.gov/biblio/21067417}, journal = {Applied Mathematics and Optimization},
issn = {0095-4616},
number = 2,
volume = 54,
place = {United States},
year = {Fri Sep 15 00:00:00 EDT 2006},
month = {Fri Sep 15 00:00:00 EDT 2006}
}