On Economic Equilibrium Type Problems with Applications

作     者：Naniewicz, Zdzislaw 

作者机构：Cardinal Stefan Wyszynski Univ Coll Sci Fac Math & Nat Sci PL-01938 Warsaw Poland 

出 版 物：《SET-VALUED AND VARIATIONAL ANALYSIS》 (集值分析)

年 卷 期：2011年第19卷第3期

页      面：417-456页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Economic equilibrium Constrained multiobjective optimization Variational inequalities Pseudo-monotone multivalued operators Ky Fan inequality Fixed point 

摘      要：The existence solution for a class of economic equilibrium type problems in reflexive Banach space is considered. New results concerning the variational inequality approach to Arrow-Debreu model of economic equilibrium introduced in Naniewicz (Math Oper Res 32:436-466, 2007) are found and applied to ensure the existence of Pareto optimal solutions for a class of multiobjective optimization problems with so-called budget-like constraints. To achieve this goal, the theory of pseudo-monotone multivalued mappings combined with some fixed point technique for multivalued mappings with nonconvex values is used.