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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.