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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Podrobná bibliografie
Vydáno v:	AIMS mathematics Ročník 10; číslo 2; s. 2064 - 2082
Hlavní autoři:	Tang, Haoran, Gong, Weiqiang
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.02.2025
Témata:	golden section ratio pseudo-monotonic variational inequality strong convergence subgradient projection
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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