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New iterative approximation for a system of generalized nonlinear variational inclusions with set-valued mappings in Banach spaces. (English) Zbl 1119.49009

The authors study a system of generalized nonlinear variational inclusions involving \(m\)-accretive mappings on Banach spaces. They give existence results for solutions and convergence results for approximation algorithms. For suitable choices of the parameters, their theorems cover other several known results.

MSC:

49J40 Variational inequalities
49J53 Set-valued and variational analysis
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