التفاصيل البيبلوغرافية
| العنوان: |
Convergence analysis of a generalized proximal algorithm for multiobjective quasiconvex minimization on Hadamard manifolds. |
| المؤلفون: |
Papa Quiroz, E. A., Baygorrea, N., Maculan, N. |
| المصدر: |
Optimization; Sep2024, Vol. 73 Issue 9, p2819-2844, 26p |
| مستخلص: |
In this paper, we introduce a generalized inexact scalarized proximal point algorithm to find Pareto-Clarke critical points and Pareto efficient solutions of quasiconvex multivalued functions defined on Hadamard manifolds considering vectorial and scalar errors to find a critical point of the regularized proximal function in each iteration. Under some assumptions on the problem, we obtain the global convergence of the sequence to a Pareto-Clarke critical point and assuming an extra condition on the proximal parameters we establish convergence to a Pareto efficient solution, approximately linear/superlinear rate of convergence and finite termination of the algorithm. In the convex case, we prove the convergence to a Pareto efficient solution point (more than a weak Pareto efficient solution point). The results of the paper are new even in the Euclidean space. [ABSTRACT FROM AUTHOR] |
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