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

Instituto de Alta Investigación

University of Vienna

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

37 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	565-580
Número de páginas	16
Publicación	Journal of Optimization Theory and Applications
Volumen	190
N.º	2
DOI	https://doi.org/10.1007/s10957-021-01860-9
Estado	Publicada - ago 2021

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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",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = aug,

doi = "10.1007/s10957-021-01860-9",

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AU - Lara, Felipe

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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

UR - https://www.scopus.com/pages/publications/85112143002

U2 - 10.1007/s10957-021-01860-9

DO - 10.1007/s10957-021-01860-9

M3 - Article

AN - SCOPUS:85112143002

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JF - Journal of Optimization Theory and Applications

IS - 2

ER -

Solving Mixed Variational Inequalities Beyond Convexity

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