Results 11 to 20 of about 115 (92)

Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models

open access: yesEnergies, 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

open access: yesFixed 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]

open access: yesAxioms, 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   +2 more sources

ADAPTIVE EXTRA-PROXIMAL ALGORITHM FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES

open access: yesМіжнародний 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

open access: yesJournal of Optimization, Differential Equations and Their Applications
In 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   +4 more sources

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

open access: yesJournal 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

open access: yesJournal 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

open access: yesJournal 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

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

open access: yesJournal 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

On Strongly Generalized Preinvex Fuzzy Mappings

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this article, we introduce a new notion of generalized convex fuzzy mapping known as strongly generalized preinvex fuzzy mapping on the invex set. Firstly, we have investigated some properties of strongly generalized preinvex fuzzy mapping. In particular, we establish the equivalence among the strongly generalized preinvex fuzzy mapping, strongly ...
Peide Liu   +4 more
wiley   +1 more source

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