Abstract and Applied Analysis

Error Bound for Conic Inequality in Hilbert Spaces

Jiangxing Zhu, Qinghai He, and Jinchuan Lin

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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.

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Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 785213, 7 pages.

First available in Project Euclid: 6 October 2014

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Zhu, Jiangxing; He, Qinghai; Lin, Jinchuan. Error Bound for Conic Inequality in Hilbert Spaces. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 785213, 7 pages. doi:10.1155/2014/785213. https://projecteuclid.org/euclid.aaa/1412606036

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