Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators
Optimization and Control
2025-01-24 v1
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.
Keywords
Cite
@article{arxiv.2501.13637,
title = {Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators},
author = {Ba Khiet Le and Minh N. Dao and Michel Théra},
journal= {arXiv preprint arXiv:2501.13637},
year = {2025}
}