If you use this code in your research, please cite our paper: @article{ terashita2025variance, title={Variance Reduction of Stochastic Hypergradient Estimation by Mixed Fixed-Point Iteration}, author= ...

The fixedpoint package is a fixed point arithmetic library for python, released under the BSD license. Install fixedpoint with pip install fixedpoint. Package documentation can be found at readthedocs ...

Fixed-point iteration is a method of computing fixed points of functions and there are several fixed-point theorems to guarantee the existence of fixed points. With the help of proximal point ...

Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

The starting point is to rewrite the differential equation as an integral equation, which is then viewed as a functional equation. This makes obvious what the fixed point iteration should be to obtain ...

W. A. Kirk, An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces, Proceedings of the American Mathematical Society, Vol. 107, No. 2 (Oct., 1989), pp ...