Directional Metric Regularity of Multifunctions

• 成果类型: Article
• 署名作者: Huynh Van Ngai; Thera, Michel
• 署名单位: Universite de Limoges; Federation University Australia
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2014.0705
• 发表日期: 2015
• 页码: 969-991
• 关键词: error-bounds; Sufficient conditions; STABILITY; systems; THEOREM; mappings; openness

摘要

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.