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 bibliografia
Vydané v:	AIMS mathematics Ročník 10; číslo 2; s. 2064 - 2082
Hlavní autori:	Tang, Haoran, Gong, Weiqiang
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.02.2025
Predmet:	golden section ratio pseudo-monotonic variational inequality strong convergence subgradient projection
ISSN:	2473-6988, 2473-6988
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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