Minty variational principle for nonsmooth interval-valued vector optimization problems on Hadamard manifolds

S Treanţă, P Mishra, BB Upadhyay - Mathematics, 2022 - mdpi.com
This article deals with the classes of approximate Minty-and Stampacchia-type vector
variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued …

Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems

Y Wang, Y Gao, B Jiang - Optimization, 2024 - Taylor & Francis
In this paper, we introduce a modified adaptive step-size algorithm by basing a generalized
Popov's method to solve variational inequality problems in a real Hilbert space. The …

A Regularized Generalized Popov's Method to Solve the Hierarchical Variational Inequality Problem with Generalized Lipschitzian Mappings

Y Wang, Y Gao, B Jiang - Symmetry, 2022 - mdpi.com
In this article, we introduce a new inertial multi-step regularized generalized Popov's extra-
gradient method to solve the hierarchical variational inequality problem (HVIP). We extend …

On the parallel subgradient extragradient rule for solving systems of variational inequalities in Hadamard manifolds

CY Wang, LC Ceng, L He, HY Hu, TY Zhao, DQ Wang… - Symmetry, 2021 - mdpi.com
In a Hadamard manifold, let the VIP and SVI represent a variational inequality problem and
a system of variational inequalities, respectively, where the SVI consists of two variational …