ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorab...

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Autor principal: Argyros,Ioannis K
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2009
Materias:
Midpoint method
Banach space
Gamma-type condition
radius of convergence
local convergence
Fréchet-derivative
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200005
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