A class modified projection algorithms for nonmonotone variational inequalities with continuity

Z Huang, Y Zhang, Y He - Optimization, 2024 - Taylor & Francis
Many well-known projection algorithms may have no convergence results when the
mapping lacks generalized monotonicity. This paper proposes a modified projection …

A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications

S DR, B Feeroz, S Shikher - Numerical Algorithms, 2023 - Springer
The objective of this work is to design a new iterative method based on Armijo's type-
modified extragradient method for solving the inclusion problem (A+ B)-1 (0), where A is a …

[PDF][PDF] Tseng-type subgradient methods for solving nonmonotone variational inequalities

X Li, L Zhu, M Postolache - UPB Sci Bull Ser A, 2023 - scientificbulletin.upb.ro
In this article, we introduce two new approaches for solving variational inequalities without
monotonicity. The first algorithm simplifies the projection region of each iteration in Ye and …

A modified projection algorithm for solving nonmonotone variational inequalities without Lipschitz continuity

M Ye, H Deng, S Sun - Optimization, 2024 - Taylor & Francis
In this paper, we first present a modified double projection algorithm (MDPA for short) for
solving variational inequality problems (VIP for short) without monotonicity. Compared with …

Extension of the subgradient extragradient algorithm for solving variational inequalities without monotonicity

J Chen, Z Huang, Y Zhang - Journal of Applied Mathematics and …, 2024 - Springer
Two improved subgradient extragradient algorithms are proposed for solving nonmonotone
variational inequalities under the nonempty assumption of the solution set of the dual …

A Novel Method for Solving Nonmonotone Equilibrium Problems

TTH Thanh, HD Manh, NTT Ha, B Van Dinh - Mediterranean Journal of …, 2024 - Springer
In this paper, we propose a novel projection method for finding a solution of equilibrium
problems EP (C, f) in Euclidean spaces in which the bifunction does not require to be …

A novel method for solving nonmonotone equilibrium problems

TTT Huyen, MH Duc, HNT Thanh, DB Van - 2023 - researchsquare.com
In this paper, we propose a novel projection method for finding a solution of equilibrium
problems EP ($ C, f $) in Euclidean spaces in which the bifunction does not require to be …