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.
"Error Bound for Conic Inequality in Hilbert Spaces." Abstr. Appl. Anal. 2014 (SI71) 1 - 7, 2014. https://doi.org/10.1155/2014/785213