The Sufficient Condition Of H?lder Metric Subregularity In Banach Space And Parameter Estimation

Metric subregularity is applied widely in optimization and variational analysis,Us-ing metric subregularity of thoughts and methods of measurement time in research in the field of optimization,equilibrium,error,and other analysis and optimization are made great achievements.At present,the research field is one of the hot spot of atten-tion,Therefore,the metric subregularity has been widely concerned and studied by schol-ars.By Ekeland variational principles and normal cones,in this paper,we studied several sufficient conditions for H?lder metric subregularity in general Banach space.