关于边缘泛函与边缘映射的研究

Research of marginal functions and marginal maps

边缘泛函与边缘映射在最优化理论中具有极为重要的作用.对其连续性的探讨是边缘映射研究中的一个基本问题,因为在最优化理论中,优化问题的稳定性往往就意味着边缘泛函与边缘映射的某种连续性.本文拟介绍边缘泛函的连续性与边缘映射性质的一些主要研究进展.

Marginal functions and marginal maps play a key role in optimization theory. An elementary problem in studying of marginal maps is discussion of their continuity, because the stability of optimization problems always implies some kind of continuity of marginal functions and marginal maps. This paper introduced some main research results of the continuity of marginal functions and properties of marginal maps.