Sufficient conditions for error bounds and linear regularity in Banach spaces |
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Authors: | Zhou Wei Qing Hai He |
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Affiliation: | 1. Department of Mathematics, Yunnan University, Kunming, 650091, P. R. China
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Abstract: | In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke’s subdifferentials and Ekeland variational principle, we establish several sufficient conditions ensuring error bounds and linear regularity in Banach spaces. |
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Keywords: | Error bound linear regularity normal cone Clarke subdifferential Ekeland variationalprinciple |
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