4 citations · 9 across the 11 of their papers we have counts for
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An inertial proximal splitting algorithm for hierarchical bilevel equilibria in Hilbert spaces
Aicha Balhag, Zakaria Mazgouri, Hassan Riahi +1
In this article, we aim to approximate a solution to the bilevel equilibrium problem for short: find such that $ g(\bar{x}, y) \geq 0, \…
Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators
Ba Khiet Le, Minh N. Dao, Michel Théra
In this paper, under the monotonicity of pairs of operators, we propose some Generalized Proximal Point Algorithms to solve non-monotone inclusions using warped resolvents and tran…
Perturbation Analysis of Error Bounds for Convex Functions on Banach Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
This paper focuses on the stability of both local and global error bounds for a proper lower semicontinuous convex function defined on a Banach space. Without relying on any dual s…
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…
On Error Bounds of Inequalities in Asplund Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
Error bounds are central objects in optimization theory and its applications. They were for a long time restricted only to the theory before becoming over the course of time a fiel…
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
In this paper, we mainly study subtransversality and two types of strong CHIP (given via Fréchet and limiting normal cones) for a collection of finitely many closed sets. We first…
Primal Characterizations of Stability of Error Bounds for Semi-infinite Convex Constraint Systems in Banach Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
This article is devoted to the stability of error bounds (local and global) for semi-infinite convex constraint systems in Banach spaces. We provide primal characterizations of the…
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…
Primal Characterizations of Error Bounds for Composite-convex Inequalities
Zhou Wei, Michel Théra, Jen-Chih Yao
This paper is devoted to primal conditions of error bounds for a general function. In terms of Bouligand tangent cones, lower Hadamard directional derivatives and the Hausdorff-Pom…
Directional Hölder Metric Regularity
Van Ngai Huynh, Huu Tron Nguyen, Michel Théra
This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder /Lipschitz metric regularity, which are based on the concepts of…