arXiv subjects

Maede Ramazannejad

Publications and source records attributed to Maede Ramazannejad.

2 recordsLinked to original sources

arXiv2024

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

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.

math.OC↗

arXiv2023

On Projected Solutions for Quasi Equilibrium Problems with Non-self Constraint Map

In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist. Our approach is based on an iterative algorithm which gives rise to a sequence such that, under the assumption of asymptotic regularity, its limit points are projected solutions. Finally, as a particular case, we discuss the existence of projected solutions to a quasi variational inequality problem.

math.OC↗