渐近分析是处理无界优化问题的重要工具。本项目拟对非凸约束向量优化及均衡问题解的特性进行渐近分析。深入研究渐近函数和广义回收函数等渐近分析工具，丰富和完善相关性质，对非凸向量优化和均衡问题的解集特性进行刻画；针对非凸向量优化问题，引入一些新的一阶和二阶渐近函数来刻画非凸问题的解集特性；基于前期研究，借助渐近函数和广义回收函数研究非凸不等式系统和向量均衡问题的误差界。本课题的研究不仅涉及到凸分析、变分分析、渐近分析、多目标优化理论等多个学科的集成和综合应用，而且还可以为经济均衡、交通运输、物流管理及最优控制等应用领域中的问题提供新的理论工具和方法，对学科和社会经济发展具有重要意义。

Asymptotic analysis is an important tool to handle unbounded optimization problem. In this project, we shall give an asymptotic analysis researches for the solutions of the nonconvex constrained vector optimization problem and equilibrium problem. First, we will do further study for asymptotic function and generalized recession function, enrich and improve their basic properties to characterize the properties of the solution sets for the nonconvex vector optimization problem and equilibrium problem. Secondly, for the nonconvex vector optimization problem, some new first and second order asymptotic functions are introduced to characterize the properties of the solution set. Finally, based on previous research, we shall use the asymptotic function and generalized recession function to study the error bound for the nonconvex inequalities system and vector equilibrium problem. This research is not only an integration and comprehensive applications of multiple disciplines such as convex analysis, variational analysis, asymptotic analysis, multiobjective optimization theory, but also provides some new theoretical tools and methods for the problems in the fields of economic equilibrium, transportation, logistics management and optimization control theory. And it is very important significance to the subject and the development of soci- economic.