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arXiv · 2501.13637

Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators

Ba Khiet Le·Minh N. Dao·Michel Théra
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Abstract

In this paper, under the monotonicity of pairs of operators, we propose some Generalized Proximal Point Algorithms to solve non-monotone inclusions using warped resolvents and transformed resolvents. The weak, strong, and linear convergence of the proposed algorithms are established under very mild conditions.

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Ba Khiet Le, Minh N. Dao, Michel Théra. 2025-01-23. Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators. https://arxiv.org/abs/2501.13637

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