Published November 15, 2016 | Version v1
Publication

Wardowski conditions to the coincidence problem

Description

In this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y 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 toward the solution of a second order differential equation.

Abstract

Ministerio de Economía y Competitividad

Abstract

Junta de Andalucía

Additional details

Created:
December 5, 2022
Modified:
December 1, 2023