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Xiaobo Li, Xiaochun Ge, Kai Tu, The generalized conditional gradient method for composite multiobjective optimization problems on Riemannian manifolds

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DOI: 10.23952/jnva.7.2023.5.10

Volume 7, Issue 5, 1 October 2023, Pages 839-857

 

Abstract. In this paper, we consider a class of composite multiobjective optimization problems, subject to a closed convex constraint set, defined on Riemannian manifolds. To tackle this problem, we propose the generalized conditional gradient method with two step size strategies, including Armijo step size and the nonmonotone line search step size. Under some reasonable conditions, the global convergence result is established, and the iteration-complexity bound for composite multiobjective optimization problems is presented on Riemannian manifolds.

 

How to Cite this Article:
X. Li, X. Ge, K. Tu, The generalized conditional gradient method for composite multiobjective optimization problems on Riemannian manifolds, J. Nonlinear Var. Anal. 7 (2023), 839-857.