A New Golden Ratio Inertial Algorithm with Two Types of Self Adaptive Step Sizes for Solving Nonlinear Inclusion Problems

The main purpose of this paper is to extend the golden ratio algorithm for monotone mixed variational inequalities (Math Program 184(1):383–410, 2020) to solve a nonlinear inclusion problem that involves non-monotone and locally Lipschitz continuous operators. We show that the developed iterative se...

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Bibliographic Details

Published in:	Journal of scientific computing Vol. 103; no. 3; p. 86
Main Authors:	Wang, Zhong-bao, Chen, Xing-yu, Chen, Zhang-you
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2025 Springer Nature B.V
Subjects:	Algorithms Computational Mathematics and Numerical Analysis Convergence Inequalities Lipschitz condition Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Nonlinear inclusion problem Golden ratio algorithm Convergence and convergence rates Inertial accelerations Self adaptive step sizes
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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