We consider a problem of solution of a multi-valued inclusion on a cone segment. In the case where the underlying mapping possesses Z type properties we suggest an extension of Gauss-Seidel algorithms from nonlinear equations. We prove convergence of a modified double iteration process under rather mild additional assumptions. Some results of numerical experiments are also presented.

Gauss-Seidel method for multi-valued inclusions with Z mappings

GNUDI, Adriana;
2009-01-01

Abstract

We consider a problem of solution of a multi-valued inclusion on a cone segment. In the case where the underlying mapping possesses Z type properties we suggest an extension of Gauss-Seidel algorithms from nonlinear equations. We prove convergence of a modified double iteration process under rather mild additional assumptions. Some results of numerical experiments are also presented.
2009
Gnudi, Adriana; Konnov, Igor V.; Schaible, Siegfried; Allevi, Elisabetta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/340
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