In this paper we study iterative procedures for stationary equilibria in games with large number of players. Most of learning algorithms for games with continuous action spaces are limited to strict contraction best reply maps in which the Banach-Picard iteration converges with geometrical convergence rate. When the best reply map is not a contraction, Ishikawa-based learning is proposed. The a...

In this paper, we prove tripled fixed point theorem for nonlinear (φ,ψ)-contractive on partially ordered complete metric spaces without mixed monotone. We also prove the uniqueness of tripled fixed point of such mappings. Further, we extend the recent results of the tripled fixed point theorem of the given mapping with mixed monotone in partially orderd metric spaces.

Aiming at a fast and robust simulation of large multibody systems with contacts and friction, this work presents a novel solution method which can solve large complementarity problems by means of a fixed-point iteration. When thousands of unilateral constraints are added to the system, our method performs like a Banach contractive mapping, providing a fast monotonic approximation to the exact L...