Smoothing conic K\"ahler metrics with uniformly upper bisectional curvature bound

Based on C. Li and Y. Rubinstein's upper bisectional curvature bound estimate for the conic K\"ahler metric, we can construct a smoothing sequence for the conic metric with uniformly upper bisectional curvature bound. For the conic metric along a simple normal crossing divisor with triple or higher multiple points we may need to choose a new background K\"ahler metric in the same cohomology class of the original background metric. This setting will be helpful to the study of conical K\"ahler-Einstein metrics and conical K\"ahler-Ricci flow.