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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Supported by National Natural Science Foundation of China (Grant No. 11261067), the Scientific Research Foundation of Yunnan University (Grant No. 2011YB29) and by IRTSTYN
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Wei, Z., He, Q.H. Sufficient conditions for error bounds and linear regularity in Banach spaces. Acta. Math. Sin.-English Ser. 30, 423–436 (2014). https://doi.org/10.1007/s10114-014-2522-z
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DOI: https://doi.org/10.1007/s10114-014-2522-z