A projected subgradient method for nondifferentiable quasiconvex multiobjective optimization problems

X Zhao, MA Köbis, Y Yao, JC Yao - Journal of Optimization Theory and …, 2021 - Springer
In this paper, we propose a projected subgradient method for solving constrained
nondifferentiable quasiconvex multiobjective optimization problems. The algorithm is based …

Proximal gradient methods for multiobjective optimization and their applications

H Tanabe, EH Fukuda, N Yamashita - Computational Optimization and …, 2019 - Springer
We propose new descent methods for unconstrained multiobjective optimization problems,
where each objective function can be written as the sum of a continuously differentiable …

A simple multi-objective optimization based on the cross-entropy method

RE Haber, G Beruvides, R Quiza, A Hernandez - Ieee Access, 2017 - ieeexplore.ieee.org
A simple multi-objective cross-entropy method is presented in this paper, with only four
parameters that facilitate the initial setting and tuning of the proposed strategy. The effects of …

On strongly quasiconvex functions: existence results and proximal point algorithms

F Lara - Journal of Optimization Theory and Applications, 2022 - Springer
We prove that every strongly quasiconvex function is 2-supercoercive (in particular,
coercive). Furthermore, we investigate the usual properties of proximal operators for strongly …

A Newton-type proximal gradient method for nonlinear multi-objective optimization problems

MAT Ansary - Optimization Methods and Software, 2023 - Taylor & Francis
In this paper, a globally convergent Newton-type proximal gradient method is developed for
composite multi-objective optimization problems where each objective function can be …

Memory gradient method for multiobjective optimization

W Chen, X Yang, Y Zhao - Applied Mathematics and Computation, 2023 - Elsevier
In this paper, we propose a new descent method, called multiobjective memory gradient
method, for finding Pareto critical points of a multiobjective optimization problem. The main …

Inexact proximal point methods for multiobjective quasiconvex minimization on Hadamard manifolds

EA Papa Quiroz, N Baygorrea Cusihuallpa… - Journal of Optimization …, 2020 - Springer
In this paper, we present two inexact scalarization proximal point methods to solve
quasiconvex multiobjective minimization problems on Hadamard manifolds. Under standard …

An efficient descent method for locally Lipschitz multiobjective optimization problems

B Gebken, S Peitz - Journal of Optimization Theory and Applications, 2021 - Springer
We present an efficient descent method for unconstrained, locally Lipschitz multiobjective
optimization problems. The method is realized by combining a theoretical result regarding …

Linear convergence of a nonmonotone projected gradient method for multiobjective optimization

X Zhao, JC Yao - Journal of Global Optimization, 2022 - Springer
We consider a projected gradient method equipped with the nonmonotone line search
procedure for convex constrained multiobjective optimization problems. Under mild …

Descent algorithm for nonsmooth stochastic multiobjective optimization

F Poirion, Q Mercier, JA Désidéri - Computational Optimization and …, 2017 - Springer
An algorithm for solving the expectation formulation of stochastic nonsmooth multiobjective
optimization problems is proposed. The proposed method is an extension of the classical …