A METHOD OF APPROXIMATION FOR A ZERO OF MAXIMAL MONOTONE OPERATOR IN HILBERT SPACE

Phạm Thị Thu Hoài; Nguyễn Thị Thúy Hoa; Nguyễn Tất Thắng

doi:10.34238/tnu-jst.2020.02.2693

A METHOD OF APPROXIMATION FOR A ZERO OF MAXIMAL MONOTONE OPERATOR IN HILBERT SPACE

About this article

Received: 21/02/20 Revised: 28/02/20 Published: 29/02/20

Authors

1. Pham Thi Thu Hoai, Vietnam Maritime University
2. Nguyen Thi Thuy Hoa, Hanoi College of Home Affairs
3. Nguyen Tat Thang , Thai Nguyen University

Abstract

In this paper, we introduce a new explicit iterative method for solving a variational inequality problem over the set of zeros for a maximal monotone operator in Hilbert space. By using two resolvents of the monotone operator at each iterate, we prove strong convergence of the method under a general condition on resolvent parameter.

Keywords

Maximal monotone operators; Nonexpansive mappings; Fixed points; Zero points; Variational inequalities

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DOI: https://doi.org/10.34238/tnu-jst.2020.02.2693

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