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math.OC2025
On Generalized Forward-Reflected-Backward Method for Monotone Inclusion Problems
Santanu Soe, V. Vetrivel, Jen-Chih Yao
We study the generalized forward-reflected-backward (GFRB) method, an extension of the forward-reflected-backward (FRB) scheme due to Malitsky and Tam, for solving monotone inclusi…
math.OC2025
Weak convergence of projection algorithm with momentum terms and new step size rule for quasimonotone variational inequalities
Gourav Kumar, Santanu Soe, V. Vetrivel
This article analyses the simple projection method proposed by Izuchukwu et al. [8, Algorithm 3.2] for solving variational inequality problems by incorporating momentum terms. A ne…
math.OC2025
The Golden Ratio Primal-Dual Algorithm with Two New Stepsize Rules for Convex-Concave Saddle Point Problems
Santanu Soe, Matthew K. Tam, V. Vetrivel
In this paper, we present two stepsize strategies for the extended Golden Ratio primal-dual algorithm (E-GRPDA) designed to address structured convex optimization problems in finit…