Results 31 to 40 of about 202 (128)

Accelerated Hybrid Subgradient Extragradient Methods for Solving Bilevel Split Quasimonotone Variational Inequality Problems

Journal of Optimization, Differential Equations and Their Applications
In this paper, we introduce and study a modified inertial subgradient extragradient iterative algorithm for solving bilevel split quasimonotone variational inequality problems with a fixed point constraint of demimetric mappings in the framework of real ...
J. A. Abuchu, G. C. Ugwunnadi, V. Darvish, O. K. Narain, M. Muslikh   +4 more
doaj   +3 more sources

Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems [PDF]

Journal of Inequalities and Applications, 2019
In this paper, we introduce and investigate composite inertial gradient-based algorithms with a line-search process for solving a variational inequality problem (VIP) with a pseudomonotone and Lipschitz continuous mapping and a common fixed-point problem
Lu-Chuan Ceng, Qing Yuan
doaj   +3 more sources

Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces

Axioms, 2020
A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium.
Wiyada Kumam, Kanikar Muangchoo
doaj   +2 more sources

A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem

Communications in Nonlinear Science and Numerical Simulation, 2023
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space.
Chinedu Izuchukwu, Grace Nnennaya Ogwo, Bertin Zinsou   +2 more
openaire   +4 more sources

A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions

Mathematics
Variational inequality problems (VIPs) provide a versatile framework for modeling a wide range of real-world applications, including those in economics, engineering, transportation, and image processing.
Ioannis K. Argyros, Fouzia Amir, Habib ur Rehman, Christopher Argyros   +3 more
doaj   +2 more sources

Mildly Inertial Subgradient Extragradient Method for Variational Inequalities Involving an Asymptotically Nonexpansive and Finitely Many Nonexpansive Mappings

Mathematics, 2019
In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng, Xiaolong Qin, Yekini Shehu, Jen-Chih Yao   +3 more
doaj   +2 more sources

Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings

Mathematics, 2019
Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng, Adrian Petruşel, Ching-Feng Wen, Jen-Chih Yao   +3 more
doaj   +2 more sources

Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

Journal of Inequalities and Applications, 2021
For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
doaj   +1 more source

Hybrid Alternated Inertial Projection and Contraction Algorithm for Solving Bilevel Variational Inequality Problems

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper considers an alternated inertial‐type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed‐point constraints of demimetric mapping.
Jacob Ashiwere Abuchu, Austine Efut Ofem, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, Azhar Hussain, Xian-Ming Gu   +5 more
wiley   +1 more source

Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we present improved iterative methods for evaluating the numerical solution of an equilibrium problem in a Hilbert space with a pseudomonotone and a Lipschitz‐type bifunction. The method is built around two computing phases of a proximal‐like mapping with inertial terms.
Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak, Cristian Chifu   +3 more
wiley   +1 more source