David Ariza-Ruiz

The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

In this paper, we provide, in the setting of geodesic spaces, a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results proved recently in this direction. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings focusing on asymptotic regularity and convergence results.

Chebyshev sets in geodesic spaces

In this paper we study several properties of Chebyshev sets in geodesic spaces. We focus on analyzing if some well-known results that characterize convexity of such sets in Hilbert spaces are also valid in the setting of geodesic spaces with bounded curvature.

Iterative approximation to a coincidence point of two mappings

In this article two methods for approximating the coincidence point of two mappings are studied and moreover, rates of convergence for both methods are given. These results are illustrated by several examples, in particular we apply such results to study the convergence and their rate of convergence of these methods to the solution of a nonlinear integral equation and of a nonlinear differential equation.

Wardowski conditions to the coincidence problem

In this article we □rst discuss the existence and uniqueness of a solution for the coincidence problem: Find

Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings

p \in X

The Schauder fixed point theorem in geodesic spaces

such that Tp = Sp; where X is a nonempty set, Y is a complete metric space, and

A Continuation Method for Weakly Kannan Maps

T; S : X \to Y

A fixed point theorem for weakly Zamfirescu mappings

are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process towards the solution of a second order di□erential equation.