Error Bounds for Approximate Solutions of Abstract Inequality Systems and Infinite Systems of Inequalities on Banach Spaces-Reference-Cited by-同舟云学术

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Error Bounds for Approximate Solutions of Abstract Inequality Systems and Infinite Systems of Inequalities on Banach Spaces

Published:2020-09-11 Issue: Volume: Page:
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Wang Jinhua,Ye Mingwu,Guu Sy-Ming,Li Chong

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11228-020-00551-3.pdf

Reference35 articles.

1. Cánovas, M.J., López, M.A., Mordukhovich, B., Parra, J.: Variational analysis in semi-infinite and infinite programming, I: stability of linear inequality systems of feasible solutions. SIAM J. Optim. 20, 1504–1526 (2009)

2. Cánovas, M.J., López, M.A., Mordukhovich, B., Parra, J.: Variational analysis in semi-infinite and infite programming, II: necessary optimality conditions. SIAM J. Optim. 20, 2788–2806 (2010)

3. Dedieu, J.P.: Approximate solutions of analytic inequality systems. SIAM J. Optim. 11, 411–425 (2000)

4. Diethard, K., Li, W.: Asymptotic constraint qualifications and global error bounds for convex inequalities. Math. Program. Ser. A. 84, 137–160 (1999)

5. Dinh, N., Goberna, M.A., López, M.A.: On the stability of the feasible set in optimization problems. SIAM J. Optim. 20, 2254–2280 (2010)

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