Results 81 to 90 of about 13,235,971 (148)

On Mann Viscosity Subgradient Extragradient Algorithms for Fixed Point Problems of Finitely Many Strict Pseudocontractions and Variational Inequalities

, 2019
In a real Hilbert space, we denote CFPP and VIP as common fixed point problem of finitely many strict pseudocontractions and a variational inequality problem for Lipschitzian, pseudomonotone operator, respectively. This paper is devoted to explore how to
Jen-Chih Yao, Adrian Petruşel, Lu-Chuan Ceng   +2 more
core   +1 more source

Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

, 2018
Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗ $E^{*}$. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to ...
C. E. Chidume, M. O. Nnakwe
core   +1 more source

A Hybrid Projection Extragradient Method for Variational Inequality and Hierarchical Fixed-Point Problems

Mathematics
This study proposes a new strongly convergent iterative framework obtained by combining a Krasnosel’skiǐ–Mann type subgradient extragradient process with a hybrid projection strategy and an inertial extrapolation mechanism.
Rehan Ali, Monairah Alansari, Mohammad Farid   +2 more
doaj   +1 more source

A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems

In this paper, we introduce an inertial subgradient extragradient method with a self-adaptive technique for solving bilevel equilibrium problem in real Hilbert spaces.
Jolaoso, Lateef Olakunle, Oyewole, Olawale Kazeem, Aremu, Kazeem Olalekan   +2 more
core   +1 more source

A Modified Inertial Subgradient Extragradient Method for Solving Pseudomonotone Equilibrium Problem

International Journal of Analysis and Applications
In this paper, we introduce and study a new modified inertial subgradient extragradient method that includes a self-adaptive step size and viscosity technique for approximating the solution of pseudomonotone equilibrium and fixed point problems in the framework of real Hilbert space.
O. Joseph, C.F. Igiri, A. E. Ofem, A. A. Mebawondu, A. Maharaj, O. K. Narain   +5 more
openaire   +1 more source

Advancing the Korpelevich method: a new approach to equilibrium problems on Hadamard manifolds

Scientific Reports
We devise a relaxed-inertial subgradient extragradient method for solving pseudomonotone equilibrium problems on Hadamard manifolds. The method uses a self-adaptive step size that does not depend on the Lipschitz constant.
Md Hifzur Rahaman, Monirul Islam, Syed Shakaib Irfan, Iqbal Ahmad   +3 more
doaj   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

A new modified extragradient method with Bregman divergence

, 2018
Предложен новый метод экстраградиентного типа для решения вариационных неравенств с псевдомонотонными и липшицевыми операторами, действующими в конечномерном линейном нормированном пространстве.
Семёнов, В.В., null null, V.V. Semenov   +2 more
core   +1 more source

A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems

, 2018
This paper develops a two-step extragradient-viscosity method for finding a common solution to a variational inequality problem and a fixed point problem in a Hilbert space. Combining the two-step extragradient algorithm and the viscosity one, we propose
Son D.X., Van Hieu D., Anh P.K., Muu L.D., Dang Van Hieu, Pham Ky Anh, Dang Xuan Son, Le Dung Muu   +7 more
core   +1 more source

A novel iterative algorithm for solving a class of variational inequality problems: revisions to ‘On the intermixed method for mixed variational inequality problems: another look and some corrections’

Journal of Inequalities and Applications
In this paper, we investigate the combination of mixed variational inequality problems and propose a novel algorithm that integrates the subgradient extragradient method with the Krasnoselskii-Mann-type method.
Wongvisarut Khuangsatung, Atid Kangtunyakarn   +1 more
doaj   +1 more source