Solving Mixed Variational Inequalities Beyond Convexity

Sorin Mihai Grad; Felipe Lara

doi:10.1007/s10957-021-01860-9

Solving Mixed Variational Inequalities Beyond Convexity

Sorin Mihai Grad
, Felipe Lara

C/o Faculty of Mathematics of the University of Vienna
Universidad de Tarapacá

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

37 Citations (Scopus)

Résumé

We show that Malitsky’s recent Golden Ratio Algorithm for solving convex mixed variational inequalities can be employed in a certain nonconvex framework as well, making it probably the first iterative method in the literature for solving generalized convex mixed variational inequalities, and illustrate this result by numerical experiments.

langue originale	Anglais
Pages (de - à)	565-580
Nombre de pages	16
journal	Journal of Optimization Theory and Applications
Volume	190
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/s10957-021-01860-9
état	Publié - 1 août 2021
Modification externe	Oui

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title = "Solving Mixed Variational Inequalities Beyond Convexity",

abstract = "We show that Malitsky{\textquoteright}s recent Golden Ratio Algorithm for solving convex mixed variational inequalities can be employed in a certain nonconvex framework as well, making it probably the first iterative method in the literature for solving generalized convex mixed variational inequalities, and illustrate this result by numerical experiments.",

keywords = "Golden Ratio Algorithms, Proximal point algorithms, Quasiconvex functions, Variational inequalities",

author = "Grad, \{Sorin Mihai\} and Felipe Lara",

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year = "2021",

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AB - We show that Malitsky’s recent Golden Ratio Algorithm for solving convex mixed variational inequalities can be employed in a certain nonconvex framework as well, making it probably the first iterative method in the literature for solving generalized convex mixed variational inequalities, and illustrate this result by numerical experiments.

KW - Golden Ratio Algorithms

KW - Proximal point algorithms

KW - Quasiconvex functions

KW - Variational inequalities

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M3 - Article

AN - SCOPUS:85112143002

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Solving Mixed Variational Inequalities Beyond Convexity

Résumé

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