Directional Metric Regularity of Multifunctions

作者：Huynh Van Ngai^*; Thera Michel

来源：Mathematics of Operations Research, 2015, 40(4): 969-991.

DOI：10.1287/moor.2014.0705

• error bound property
• perturbation stability
• relative/directional metric regularity
• semicontinuous envelope
• generalized equations

In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by using the relative lower semicontinuous envelopes of the distance functions to set-valued mappings. We then apply these characterizations to establish a coderivative type criterion for directional metric regularity as well as for the robustness of metric regularity.

• 出版日期2015-11