Error Bound for Conic Inequality in Hilbert Spaces

Jiangxing Zhu, Qinghai He and Jinchuan Lin

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector‐valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality. In the Hilbert space case, our result improves and extends some existing results on local error bounds.

Date: 2014
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https://doi.org/10.1155/2014/785213

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:785213

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