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
- URL
- https://idus.us.es/handle/11441/48634
- URN
- urn:oai:idus.us.es:11441/48634
- Origin repository
- USE