IEEE

On the convergence of fixed-point iteration in solving complementarity problems arising in robot locomotion and manipulation

Abstract: Model-based approaches to the planning or control of robot locomotion or manipulation requires the solution of complementarity problems that model intermittent contact. Fixed-point iteration ...
IEEE

Convergence Analysis for a Cooperative Distributed Model Predictive Control Algorithm based on Fixed Point Iteration

Abstract: This paper analyses the convergence property of the cooperative distributed model predictive control (DMPC) method. Our study consists of two parts. In the first part, we consider the ...
GitHub

fixed-point.md

In this section, we consider the alternative form of the rootfinding problem known as the fixed-point problem. Given a function $g$, the **fixed-point problem** is to ...
JSTOR Daily

Fixed Point Iteration for Pseudocontractive Maps

Let K be a compact convex subset of a real Hilbert space, H; T: K → K a continuous pseudocontractive map. Let {an}, {bn}, {cn}, {an ′}, {bn ′} and {cn ′} be real sequences in [0,1] satisfying ...
JSTOR Daily

Approximate Fixed Point Sequences and Convergence Theorems for Lipschitz Pseudocontractive Maps

Let K be a nonempty closed convex subset of a real Banach space E and T be a Lipschitz pseudocontractive self-map of K with $F(T)\coloneq ${x∈ K: Tx=x}$\neq ...
Nature

Matrix Splitting Iteration Methods for Complementarity Problems

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications. These methods ...