A mesh independence principle for nonlinear equations using newton's method ano nonlinear projections.

Ioannis K. Argyros


We consider the nonlinear operator equation in a Banach space. We make use of nonlinear projections on finite dimensional spaces to produce the finite dimensional discretization of the nonlinear equation. Using Newton's method we then prove the mesh-independence principle for this problem. Our results cover and extend previous results involving linear projections on finite dimensional spaces.

Palabras clave

Espacios dimensionales; Ecuaciones no lineales

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DOI: http://dx.doi.org/10.22199/S07160917.1990.0016.00004

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