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math.OC2025
Metric Subregularity of Multifunctions and Applications to Characterizations of Asplund Spaces
Zhou Wei, Michel Thera, Jen-Chih Yao
In this paper, we investigate metric subregularity of multifunctions between Asplund spaces. Using Mordukhovich normal cones and coderivatives, we introduce the limiting Basic Cons…
math.OC2025
Complexity of Error Bounds for Systems of Linear Inequalities
Zhou Wei, Michel Thera, Jen-Chih Yao
Error bounds have been studied for more than seventy years, beginning with the seminal result of Hoffman (1952) [{\it J. Res. Natl. Bur. Standards}, 49 (1952), 263--265], which est…