Convex optimization

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 21 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