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On the convergence of conditional gradient method for unbounded multiobjective optimization problems

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arxiv 2403.02671 v1 pith:5Z3HWK3Y submitted 2024-03-05 math.OC

On the convergence of conditional gradient method for unbounded multiobjective optimization problems

classification math.OC
keywords algorithmconditionalconvergencegradientmultiobjectiveoptimizationproblemsunbounded
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This paper focuses on developing a conditional gradient algorithm for multiobjective optimization problems with an unbounded feasible region. We employ the concept of recession cone to establish the well-defined nature of the algorithm. The asymptotic convergence property and the iteration-complexity bound are established under mild assumptions. Numerical examples are provided to verify the algorithmic performance.

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