ON STRONG CONVERGENCE THEOREMS FOR A VISCOSITY-TYPE TSENG'S EXTRAGRADIENT METHODS SOLVING QUASIMONOTONE VARIATIONAL …

N Wairojjana, N Pholasa… - … Functional Analysis and …, 2022 - koreascience.kr
The main goal of this research is to solve variational inequalities involving quasimonotone
operators in infinite-dimensional real Hilbert spaces numerically. The main advantage of …

A new explicit extragradient method for solving equilibrium problems with convex constraints

K Muangchoo - Nonlinear Functional Analysis and Applications, 2022 - koreascience.kr
The purpose of this research is to formulate a new proximal-type algorithm to solve the
equilibrium problem in a real Hilbert space. A new algorithm is analogous to the famous two …

Two generalized non-monotone explicit strongly convergent extragradient methods for solving pseudomonotone equilibrium problems and applications

H ur Rehman, P Kumam, M Özdemir… - … and Computers in …, 2022 - Elsevier
The main objective of this paper is to introduce two new proximal-like methods to solve the
equilibrium problem in a real Hilbert space. The equilibrium problem is a general …

Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities

H ur Rehman, P Kumam, M Ozdemir, IK Argyros… - Optimization, 2022 - Taylor & Francis
In this paper, we construct three new extragradient-type iterative methods for solving
variational inequalities in real Hilbert spaces. The proposed iterative methods are …

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

C Khunpanuk, N Pakkaranang… - Demonstratio …, 2022 - degruyter.com
The primary objective of this study is to develop two new proximal-type algorithms for solving
equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well …

The inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spaces

HU Rehman, P Kumam, IK Argyros, W Kumam… - Journal of Inequalities …, 2022 - Springer
In this paper, we present new iterative techniques for approximating the solution of an
equilibrium problem involving a pseudomonotone and a Lipschitz-type bifunction in Hilbert …

Improvement of Split‐Step Forward Milstein Schemes for SODEs Arising in Mathematical Physics

H Ranjbar, K Nouri, L Torkzadeh - Mathematical Problems in …, 2022 - Wiley Online Library
In the present investigation, new explicit approaches by the Milstein method and increment
function of the Jacobian derivative of the drift coefficient are designed. Several numerical …

Strong convergent inertial two-subgradient extragradient method for finding minimum-norm solutions of variational inequality problems

T Opeyemi Alakoya, O Temitope Mewomo - Networks and Spatial …, 2024 - Springer
Abstract In 2012, Censor et al.(Extensions of Korpelevich's extragradient method for the
variational inequality problem in Euclidean space. Optimization 61 (9): 1119–1132,) …

Strong convergence analysis of modified Mann-type forward–backward scheme for solving quasimonotone variational inequalities

N Wairojjana, C Khunpanuk… - Asian-European Journal …, 2023 - World Scientific
The paper proposes multiple new extragradient methods for solving a variational inequality
problem involving quasimonotone operators in infinite-dimensional real Hilbert spaces …

A nonmonotonic explicit proximal-like method for solving equilibrium programming with convex constraints

N Wairojjana, N Pakkaranang, K Muangchoo… - Khayyam Journal of …, 2022 - kjm-math.org
In this paper, we propose a new proximal-type method to solve equilibrium problems in a
real Hilbert space. The new method is analogous to the famous two step extragradient …