On Economic Equilibrium Type Problems with Applications |
| |
Authors: | Zdzisław Naniewicz |
| |
Affiliation: | 1.Faculty of Mathematics and Natural Sciences, College of Sciences,Cardinal Stefan Wyszyński University,Warsaw,Poland |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|