Douglas-Rachford splitting algorithm for projected solution of quasi variational inequality with non-self constraint map

Fuente: arXiv
Saved in:
Bibliographic Details
Main Author: Ramazannejad, Maede
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866929426365677568
author Ramazannejad, Maede
author_facet Ramazannejad, Maede
contents In this paper, we present a Douglas-Rachford splitting algorithm within a Hilbert space framework that yields a projected solution for a quasi-variational inequality. This is achieved under the conditions that the operator associated with the problem is Lipschitz continuous and strongly monotone. The proposed algorithm is based on the interaction between the resolvent operator and the reflected resolvent operator.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13367
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Douglas-Rachford splitting algorithm for projected solution of quasi variational inequality with non-self constraint map
Ramazannejad, Maede
Optimization and Control
Functional Analysis
In this paper, we present a Douglas-Rachford splitting algorithm within a Hilbert space framework that yields a projected solution for a quasi-variational inequality. This is achieved under the conditions that the operator associated with the problem is Lipschitz continuous and strongly monotone. The proposed algorithm is based on the interaction between the resolvent operator and the reflected resolvent operator.
title Douglas-Rachford splitting algorithm for projected solution of quasi variational inequality with non-self constraint map
topic Optimization and Control
Functional Analysis
url https://arxiv.org/abs/2407.13367