Two improved extrapolated gradient algorithms for pseudo-monotone variational inequalities

In this paper, the approximation problem for pseudo-monotonic variational inequalities is studied. With the help of the reciprocal form of parameters and the golden section ratio, two kinds of algorithms are introduced, and their strong convergence is proved under certain appropriate conditions.

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Bibliographic Details
Published in:	AIMS mathematics Vol. 10; no. 2; pp. 2064 - 2082
Main Authors:	Tang, Haoran, Gong, Weiqiang
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.02.2025
Subjects:	golden section ratio pseudo-monotonic variational inequality strong convergence subgradient projection
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Description
Summary:	In this paper, the approximation problem for pseudo-monotonic variational inequalities is studied. With the help of the reciprocal form of parameters and the golden section ratio, two kinds of algorithms are introduced, and their strong convergence is proved under certain appropriate conditions.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2025097