3 papers
math.OC2026
Averaged proximal reflected gradient method for monotone variational inequalities
Xiaokai Chang, Jialin Li, Jun Yang
Projected reflected gradient (PRG) method proposed by Malitsky is efficient for solving monotone variational inequality (MVI), while the existing upper bound of step size is not ti…
math.AP2026
Gradient estimates for -Laplacian equation with cubic polynomial nonlinearity on Riemannian manifolds
Zhen Qiu, Youde Wang, Jun Yang
This paper studies a class of -Laplace equations with cubic polynomial nonlinearity \[ Δ_p v + (v-a_1)(v-a_2)(v-a_3) = 0 \] on complete Riemannian manifolds with lower Ricci…
math.OC2018
Proximal extrapolated gradient methods with prediction and correction for monotone variational inequalities
Xiaokai Chang, Sanyang Liu, Jianchao Bai +1
An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed me…