Global error bound for convex inclusion problems
Journal of Global Optimization
On the Asymptotically Well Behaved Functions and Global Error Bound for Convex Polynomials
SIAM Journal on Optimization
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Recently, Huang and Ng presented second-order sufficient conditions for error bounds of continuous and Gaˆteaux differentiable functions in Banach spaces. Wu and Ye dropped the assumption of Huang and Ng on Gaˆteaux differentiability but required the space to be a Hilbert space. We carry on this research in two directions. First we extend Wu and Ye’s result to some non-Hilbert spaces; second, same as Huang and Ng, we work on Banach spaces but provide different second-order sufficient conditions that may allow the function to be non-Gaˆteaux differentiable.