EUROPT 2025
Abstract Submission

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

Invited abstract in session WB-6: Structured nonsmooth optimization -- Part II, stream Nonsmooth and nonconvex optimization.

Wednesday, 10:30-12:30
Room: B100/7013

Authors (first author is the speaker)

1. Maede Ramazannejad
Dipartimento di Matematica per le Scienze Economiche, Finanziarie ed Attuariali, Università Cattolica del Sacro Cuore

Abstract

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.

Keywords

Status: accepted


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