Convex optimization

In this paper, we focus on the second-order optimality conditions for infinite-dimensional optimization problems constrained by generalized polyhedral convex sets. Our aim is to further explore the role of the generalized polyhedral convex property, which is inspired by the findings of other authors.

11p vijiraiya 19-05-2025 2 1   Download

Quadratic programming problems are of primary importance in various applications and arise as subproblems in many optimization algorithms. In this paper, we investigate quadratic programming problems in Hilbert spaces.

10p viaburame 14-03-2025 4 1   Download

We propose a new method for finding a zero point of a sum involving a Lipschitzian monotone operator and a maximally monotone operator, both acting on a real Hilbert space. The proposed method aims to extend forward-reflected-backward method by using inertial effect and variable metric. The weak convergence of the proposed method is proved under standard conditions.

11p viaburame 14-03-2025 1 1   Download

The research related to this dissertation was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) and Hanoi National University of Education.

136p elephantcarrot 02-07-2021 22 5   Download

The dissertation has four chapters: Chapter 1 - Existence of solutions; Chapter 2 - Stability for global, local and stationary solution sets; Chapter 3 - Continuity and directional differentiability of the optimal value function; Chapter 4 - Stability for extended trust region subproblems.

143p monsterhunterer 20-06-2021 9 4   Download