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64 papers · 1 filter
Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity
Ba Khiet Le, Michel Théra
The paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity and calmness. We show that…
Doubly relaxed forward-Douglas--Rachford splitting for the sum of two nonconvex and a DC function
Minh N. Dao, Tan Nhat Pham, Phan Thanh Tung
In this paper, we consider a class of structured nonconvex nonsmooth optimization problems whose objective function is the sum of three nonconvex functions, one of which is express…
Bregman Proximal Linearized ADMM for Minimizing Separable Sums Coupled by a Difference of Functions
Tan Nhat Pham, Minh N. Dao, Andrew Eberhard +1
In this paper, we develop a splitting algorithm incorporating Bregman distances to solve a broad class of linearly constrained composite optimization problems, whose objective func…
Weak and strong convergence of an inertial proximal method for solving bilevel monotone equilibrium problems
AÏcha Balhag, Zakaria Mazgouri, Michel Théra
In this paper, we introduce an inertial proximal method for solving a bilevel problem involving two monotone equilibrium bifunctions in Hilbert spaces. Under suitable conditions an…
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators
Minh N. Dao, Hassan Saoud, Michel Théra
In this paper, we are interested in studying the asymptotic behavior of the solutions of differential inclusions governed by maximally monotone operators. In the case where the LaS…
A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems
Tan Nhat Pham, Minh N. Dao, Rakibuzzaman Shah +3
In this paper, we consider a class of structured nonconvex nonsmooth optimization problems, in which the objective function is formed by the sum of a possibly nonsmooth nonconvex f…