A VARIABLE METRIC INERTIAL FORWARD-REFLECTED-BACKWARD METHOD FOR SOLVING MONOTONE INCLUSIONS=A VARIABLE METRIC INERTIAL FORWARD-REFLECTED-BACKWARD METHOD FOR SOLVING MONOTONE INCLUSIONS

• Tác giả: Van Dung Nguyen
• Ngôn ngữ: eng
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Sư phạm Hà Nội: Khoa học Tự nhiên, 2024
• Mô tả vật lý: tr.3
• Bộ sưu tập: Metadata
• ID: 247975

Tóm tắt

We propose a new method for finding a zero point of a suminvolving a Lipschitzian monotone operator and a maximally monotone operator,both acting on a real Hilbert space. The proposed method aims to extendforward-reflected-backward method by using inertial effect and variable metric.The weak convergence of the proposed method is proved under standardconditionsWe propose a new method for finding a zero point of a suminvolving a Lipschitzian monotone operator and a maximally monotone operator,both acting on a real Hilbert space. The proposed method aims to extendforward-reflected-backward method by using inertial effect and variable metric.The weak convergence of the proposed method is proved under standardconditions