Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 75, Issue 3, Pages 1483-1495Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.06.024
Keywords
Subdifferential; epsilon-subdifferential; Limiting subdifferential; Perturbed optimization problem; Well-posedness
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Funding
- Foundation of Department of Education of Zhejiang Province [Y201018470]
- National Natural Science Foundation of China [10731060]
- Zhejiang Provincial Natural Science Foundation of China [Y6110006]
- National Science Council of NSC [99-2115-M-037-002-MY3]
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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). (C) 2011 Elsevier Ltd. All rights reserved.
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