5 papers
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…
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…
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…