Abstract: We prove that the fixed point iteration of arbitrary positive concave mappings with nonempty fixed point set converges geometrically for any starting point. We also show that positivity is ...

Abstract: This article presents a sensitivity-based algorithm for distributed optimal control problems (OCP) of multi-agent systems with nonlinear dynamics and state/input couplings, as they arise, ...

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 ...

In this paper we establish convergence and stability results using general contractive condition, quasi-nonexpansive mapping and mean non expansive mapping for K-iteration process. We shall also ...

It is sometimes useful to output quantities after each fixed point iteration, for example, for testing or monitoring fixed point progress. Currently, there is only one execution point for Outputs ...

Department of Mathematics & Physics, Beijing Institute of Petrochemical Technology, Beijing, China. are the partitioned matrix of and respectively. As is well known, this problem models a large ...

Utilizing root-finding methods such as Bisection Method, Fixed-Point Method, Secant Method, and Newton's Method to solve for the roots of functions ...

This is a preview. Log in through your library . Abstract In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces.