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Three step algorithm for weighted resolvent average of a finite family of monotone operators

2018
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Filomat
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In this paper, we introduce a composite iterative method for finding a common zero point of weighted resolvent average of a finite family of monotone operators. Furthermore, the strong convergence of the proposed iterative method is established. Finally, our results are illustrated by some numerical examples. A monotone operator A is called maximal monotone if there exists no monotone operator B such that gra A is a proper subset of gra B. The resolvent of A is the mapping J A = (A + Id) −1 .

doi:10.2298/fil1817031b
fatcat:kqr2ijeukzgz7lgfafl2fav53m