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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Bibliographische Detailangaben
Veröffentlicht in:	AIMS mathematics Jg. 10; H. 2; S. 2064 - 2082
Hauptverfasser:	Tang, Haoran, Gong, Weiqiang
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	AIMS Press 01.02.2025
Schlagworte:	golden section ratio pseudo-monotonic variational inequality strong convergence subgradient projection
ISSN:	2473-6988, 2473-6988
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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