3 papers
math.OC2024
Forward-backward-forward dynamics for bilevel equilibrium problem
Kanchan Mittal, Pankaj Gautam, V. Vetrivel
We introduce a forward-backward-forward (FBF) algorithm for solving bilevel equilibrium problem associated with bifunctions on a real Hilbert space. This modifies the forward-backw…
math.OC2023
Degenerate preconditioned backward-backward splitting for inclusion problem
Pankaj Gautam, Vellaichamy Vetrivel
In this work, we introduce the notion of warped Yosida regularization and study the asymptotic behavior of the orbit of dynamical systems generated by warped Yosida regularization,…
math.OC2023
Well-posedness for the split equilibrium problem
Soumitra Dey, V. Vetrivel, Hong-Kun Xu
We extend the concept of well-posedness to the split equilibrium problem and establish Furi-Vignoli-type characterizations for the well-posedness. We prove that the well-posedness…