Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators

Published 23 Jan 2025 in math.OC | (2501.13637v1)

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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