On the error estimation and T-stability of the Mann iteration

• L. Maruster ^[1] ; St. Maruster ^[2]
  1. [1] University of Groningen

     University of Groningen

     Países Bajos

     
  2. [2] West University of Timişoara

     West University of Timişoara

     Rumanía

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 276, Nº 1 (1 March 2015), 2015, págs. 110-116
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.08.031
• Texto completo no disponible (Saber más ...)
• Resumen

  • A formula of error estimation of Mann iteration is given in the case of strongly demicontractive mappings. Based on this estimation, a condition of strong convergence is obtained for the same class of mappings. T -stability for a particular case of strongly demicontractive mappings is proved. Some numerical examples showing the accuracy of the proposed estimations are also given.