On the local convergence of a two-step steffensen-type method for solving generalized equations

• Argyros, Ioannis K. ^[1] ; Hilout, Saïd ^[2]
  1. [1] Cameron University

     Cameron University

     Estados Unidos

     
  2. [2] Université Sultan Moulay Slimane

     Université Sultan Moulay Slimane

     Alkhalfia, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 3, 2008, págs. 319-330
• Idioma: inglés
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• Resumen

  • We use a two-step Steffensen-type method [1], [2], [4], [6], [13]-[16] to solve a generalized equation in a Banach space setting under Hölder-type conditions introduced by us in [2], [6] for nonlinear equations. Using some ideas given in [4], [6] for nonlinear equations, we provide a local convergence analysis with the following advantages over related [13]-[16]: finer error bounds on the distances involved, and a larger radius of convergence. An application is also provided.