- Title
- Slopes of multifunctions and extensions of metric regularity
- Creator
- Ngai, Huynh Van; Kruger, Alexander; Thera, Michel
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/74155
- Identifier
- vital:7197
- Identifier
- http://www.math.ac.vn/publications/vjm/VJM_40/VJM, so 2-3, 2012/NoiDung/355-369_Ngai-Kruger-Thera.pdf
- Identifier
- ISSN:0866-7179
- Abstract
- This article aims to demonstrate how the definitions of slopes can be extended to multi-valued mappings between metric spaces and applied for characterizing metric regularity. Several kinds of local and nonlocal slopes are defined and several metric regularity properties for set-valued mappings between metric spaces are investigated.
- Publisher
- Springer
- Relation
- Vietnam Journal of Mathematics (Tạp chí toán học) Vol. 40, no. 2/3 (2012), p. 355-369; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © VAST
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Variational analysis; Error bounds; Slope; Multifunction; Metric regularity; 0101 Pure Mathematics
- Full Text
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