Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models [PDF]
Energies, 2020 This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman +4 more
doaj +2 more sources
A self-adaptive extragradient method for fixed-point and pseudomonotone equilibrium problems in Hadamard spaces [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 In this work, we study a self-adaptive extragradient algorithm for approximating a common solution of a pseudomonotone equilibrium problem and fixed-point problem for multivalued nonexpansive mapping in Hadamard spaces. Our proposed algorithm is designed
Kazeem Olalekan Aremu +2 more
doaj +2 more sources
A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems [PDF]
Axioms, 2020 A plethora of applications from mathematical programming, such as minimax, and mathematical programming, penalization, fixed point to mention a few can be framed as equilibrium problems.
Nopparat Wairojjana +3 more
doaj +3 more sources
ADAPTIVE EXTRA-PROXIMAL ALGORITHM FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES [PDF]
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 One of the most popular areas of modern applied nonlinear analysis is the study of equilibrium problems (Ky Fan inequalities, equilibrium programming problems).
Я.І. Ведель +3 more
doaj +2 more sources
Convergence of Adaptive Algorithms for Equilibrium Problems in Hadamard Spaces [PDF]
Journal of Optimization, Differential Equations and Their ApplicationsIn this paper, we consider the equilibrium problems under the setting of Hadamard spaces. For an approximate solution of equilibrium problems, iterative adaptive two-stage proximal algorithms are proposed and studied.
Serhii V. Denysov +2 more
doaj +5 more sources
An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems [PDF]
, 2021 The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces.
Iyiola, Olaniyi S. +3 more
core +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz‐type continuous bifunctions are involved in a real Hilbert space. The first method needs the prior knowledge of the Lipschitz constants of the bifunctions while the second method uses a
Gaobo Li, Sun Young Cho
wiley +1 more source
A Note on the Generalized Nonlinear Vector Variational‐Like Inequality Problem
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we discuss two variants of the generalized nonlinear vector variational‐like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof.
Ankit Gupta +5 more
wiley +1 more source
Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate the split equilibrium problem and fixed point problem in Hilbert spaces. We propose an iterative scheme for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are all pseudocontractive.
Li-Jun Zhu +3 more
wiley +1 more source
Journal of Inequalities and Applications, 2022 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 spaces.
Habib ur Rehman +4 more
doaj +1 more source