Limiting subdifferentials of perturbed distance functions in Banach spaces

作者：Meng, Li; Li, Chong^*; Yao, Jen-Chih

来源：Nonlinear Analysis-Theory Methods & Applications, 2012, 75(3): 1483-1495.

DOI：10.1016/j.na.2011.06.024

• Subdifferential
• epsilon-subdifferential
• Limiting subdifferential
• Perturbed optimization problem
• Well-posedness

We explore in arbitrary Banach spaces the Frechet type epsilon-subdifferentials and the limiting subdifferentials for the perturbed distance function d(S)(J) (.) determined by a closed subset S and a lower semicontinuous function J defined on S. In particular, upper and lower estimates for the Frechet type epsilon-subdifferentials and for the limiting subdifferentials are provided in terms of the corresponding subdifferentials of the sum of the associated functions J and delta(S).

• 出版日期2012-2
• 单位浙江大学; 中山大学; 浙江工业大学