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Iterative processes of the second order for monotone inclusions in a Hilbert space

Research paper by I. P. Ryazantseva

Indexed on: 27 Jun '13Published on: 27 Jun '13Published in: Russian Mathematics



Abstract

We study equations with multiple-valued operators in a Hilbert space. We understand their solutions in the sense of inclusion. We reduce such equations to mixed variational inequalities or to equations with single-valued operators. For constructed problems we propose implicit iterative processes of the second order and establish sufficient conditions for their strong convergence.