2025-12-302025-12-302025ASSUNÇÃO, P. B.; FERREIRA, O. P.; PRUDENTE, L. F. A generalized conditional gradient method for multiobjective composite optimization problems. Optimization, London, v. 74, n. 2, p. 473-503, 2025. DOI: 10.1080/02331934.2023.2257709. Disponível em: https://www.tandfonline.com/doi/full/10.1080/02331934.2023.2257709. Acesso em: 10 dez. 2025.e- 1029-4945https://www.tandfonline.com/doi/full/10.1080/02331934.2023.2257709This article deals with multiobjective composite optimization problems that consist of simultaneously minimizing several objective functions, each of which is composed of a combination of smooth and non-smooth functions. To tackle these problems, we propose a generalized version of the conditional gradient method, also known as Frank-Wolfe method. The method is analysed with three step size strategies, including Armijo-type, adaptive, and diminishing step sizes. We establish asymptotic convergence properties and iteration-complexity bounds, with and without convexity assumptions on the objective functions. Numerical experiments illustrating the practical behaviour of the methods are presented.engAcesso RestritoConditional gradient methodFrank-Wolfe methodPareto optimalityMultiobjective optimizationConstrained optimization problemArtigo10.1080/02331934.2023.2257709