Banach空间中非正规情况参数优化问题的分歧

Bifurcation for Abnormal Parametric Optimization Problem in Banach Space

在Banach空间下研究非正规参数优化问题的分歧问题.假设参数优化问题满足严格补条件以及二阶条件,并且积极约束映射的Frechet导的值域维数是2,得到非线性方程系统有两条解曲线,并得出解曲线的局部结构.

In the paper, bifurcation problem for studied. Assuming parametric optimization problem parametric optimization problem in Banach space is satisfies strict complementarity , a second -order condition , and range of Frechet derivative of the active constraints mapping has codimension two. solution curves and structure of local solutionin in the system of nonlinear equations are gained.