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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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
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Abstract 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.
AbstractList 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.
Author Gong, Weiqiang
Tang, Haoran
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SubjectTerms golden section ratio
pseudo-monotonic variational inequality
strong convergence
subgradient projection
Title Two improved extrapolated gradient algorithms for pseudo-monotone variational inequalities
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