Perturbation Analysis of the Algebraic Metric Generalized Inverse in Lp(,)

作者：Cao, Jianbing; Xue, Yifeng^*

来源：Numerical Functional Analysis and Optimization, 2017, 38(12): 1624-1643.

DOI：10.1080/01630563.2017.1379025

• Best approximate solution
• gap function
• metric generalized inverse
• stable perturbation
• Primary 47A05
• Secondary 46B20

Let X = LP cx)) and T, ST : X X be bounded i near operators. Put T = T 6T. In this paper, using the notion of quasi-additivity and the concept of stable perturbation, we will give some estimates of the upper bound of II TM - TM in terms of the gap function. As an application of main results, we also nvestigate the best approximate solution problem of ill -posed operator equation.

• 出版日期2017
• 单位河南科技学院; 华东师范大学; 河南师范大学