Results 41 to 50 of about 474,284 (161)

A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin, Nawab Hussain, Calogero Vetro   +2 more
wiley   +1 more source

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem, Andrea Scapellato   +5 more
wiley   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen, Ljubisa Kocinac   +3 more
wiley   +1 more source

A Self‐Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self‐adaptive rule and the extragradient algorithm.
Li-Jun Zhu, Tzu-Chien Yin, Hüseyin Işık   +2 more
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, Satish Kumar, Ratna Dev Sarma, Pankaj Kumar Garg, Reny George, Yuanfang Ru   +5 more
wiley   +1 more source

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

Advances in Nonlinear Analysis, 2019
The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier, Mokrane A., Tahraoui Y., Vallet G.   +3 more
doaj   +1 more source

Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems

, 2013
We study the existence of nontrivial solutions of parameter-dependent quasilinear elliptic Dirichlet problems of the form $-\Delta u = \lambda f(u)$ in $\Omega$, $u = 0$ on $\partial\Omega$, in a bounded domain $\Omega$ with sufficiently smooth boundary, where $\lambda$ is a real parameter and $\Delta_p$ denotes the p-Laplacian.
Candito, P., Carl, S., Livrea, R.
openaire   +3 more sources

An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems

Demonstratio Mathematica, 2022
The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C., Ugwunnadi Godwin C., Jolaoso Lateef O.   +2 more
doaj   +1 more source

Identification of discontinuous parameters in double phase obstacle problems

Advances in Nonlinear Analysis, 2022
In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda, Bai Yunru, Winkert Patrick, Yao Jen-Chih   +3 more
doaj   +1 more source

An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem

Advances in Difference Equations, 2021
This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj   +1 more source