Artículo
Wardowski conditions to the coincidence problem
Autor/es | Ariza Ruiz, David
García Falset, Jesús Sadarangan, Kishin |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2015-08-31 |
Fecha de depósito | 2016-11-15 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-01
P08-FQM-03453 info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-02 |
Cita | Ariza Ruiz, D., García Falset, J. y Sadarangan, K. (2015). Wardowski conditions to the coincidence problem. Frontiers in Applied Mathematics and Statistics, 1 (9), 1-7. |
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