Fast warped iteration for nonmonotone inclusions with a convergence rate of o (1k)
Abstract
In this paper, we investigate a warped iteration for solving the nonmonotone inclusions constituted by the sum of two operators, where one is cocoercive and the other is possibly nonmonotone. Under appropriate conditions on the parameters, the weak convergence of the sequence of iteration is derived, with worst-case rates of o(k−1) in terms of both the discrete velocity and the residual norm. We also give some simple numerical experiments to demonstrate the efficiency of the proposed algorithm.
Fields of Study & Subjects
Optimization and Variational Analysis
Iterative Methods for Nonlinear Equations
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Optimization methods & software
- Volume
- 41
- Issue
- 1
- Pages
- 256–275
- Publication date
- 2 January 2026
- Language
- EN