Hölder metric subregularity for constraint systems in Asplund spaces
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This paper deals with the Hölder metric subregularity property of a certain constraint system in Asplund space. Using the techniques of variational analysis, its main part is devoted to establish new sufficient conditions in dual spaces for Hölder metric subregularity and estimate its modulus, which are derived in terms of coderivatives and normal cones. As an application, the results are applied to study the relationship between higher order growth condition of an unconstraint minimization problem and Hölder metric subregularity property of the related constraint system.
KeywordsHölder metric subregularity Constraint system Normal cone Coderivative
Mathematics Subject Classification49J52 90C31 90C48
The authors are grateful to the referees and editors for their helpful comments and constructive suggestions which helped us to improve the quality of this work.
- 28.Zhang, B., Zheng, X.Y.: Well-posedness and generalized metric subregularity with respect to an admissible function. Sci. China Math. (2018). https://doi.org/10.1007/s11425-017-9204-5