Inertial modification using self-adaptive subgradient extragradient techniques for equilibrium programming applied to variational inequalities and fixed-point problems

H Rehman, W Kumam, K Sombut - Mathematics, 2022 - mdpi.com
Equilibrium problems are articulated in a variety of mathematical computing applications,
including minimax and numerical programming, saddle-point problems, fixed-point …

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 …

[PDF][PDF] On approximating fixed points of strictly pseudocontractive mappings in metric spaces

S Salisu, V Berinde, S Sriwongsa… - Carpathian Journal of …, 2024 - vberinde.cunbm.utcluj.ro
In this work, we analyse the class of strictly pseudocontractive mappings in general metric
spaces by providing a comprehensive and appropriate definition of a strictly …

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 …

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities …

C Khunpanuk, B Panyanak, N Pakkaranang - Mathematics, 2022 - mdpi.com
Two new inertial-type extragradient methods are proposed to find a numerical common
solution to the variational inequality problem involving a pseudomonotone and Lipschitz …

A strongly convergent extragradient method with non-monotone self adaptive step size rule for solving pseudomonotone variational inequalities in a real Hilbert space

N Wairojjana, K Muangchoo… - International Journal of …, 2022 - ijnaa.semnan.ac.ir
In this paper, a new algorithm is proposed to solve pseudo-monotone variational
inequalities with the Lipschitz condition in a real Hilbert space. This problem is an …

[PDF][PDF] Accelerated non-monotonic explicit proximal-type method for solving equilibrium programming with convex constraints and its applications

P Yotkaew, N Wairojjana, N Pakkaranang - AIMS Math, 2021 - aimspress.com
The main objective of this study is to introduce a new two-step proximal-type method to solve
equilibrium problems in a real Hilbert space. This problem is a general mathematical model …