Results 81 to 90 of about 332 (162)

On well-posedness associated with a class of controlled variational inequalities

, 2021
In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with the considered curvilinear integral functional, we investigate the well-posedness and well-posedness in generalized sense for a class of ...
Savin Treanţă, Shalini Jha
core   +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

Existence of Solutions for Generalized Mixed Weak Vector Variational–Hemivariational Inequalities

Mathematics
In this paper, we consider the classes of generalized Stampacchia mixed weak vector variational–hemivariational inequalities (in short, GSMWVVHIs) and generalized Minty mixed weak vector variational–hemivariational inequalities (in short, GMMWVVHIs ...
Balendu Bhooshan Upadhyay, Shivani Sain, Ioan Stancu-Minasian   +2 more
doaj   +1 more source

Weak and Error-Bound Linear Convergence of a Safeguarded Anderson-Accelerated Subgradient Extragradient Method

Mathematics
We propose a safeguarded Anderson-accelerated subgradient extragradient method for variational inequalities in real Hilbert spaces. The method combines classical projection onto the feasible set with an explicit projection onto a supporting half space ...
Austine Efut Ofem, Adhir Maharaj, Virath Singh   +2 more
doaj   +1 more source

Existence Results for Densely Pseudomonotone Variational Inequalities

Journal of Mathematical Analysis and Applications, 2001
Let \(K\) be a nonempty convex subset of a Hausdorff topological vector space \(X\) and let \(f:K\rightarrow X^*\) be a nonlinear operator. The paper deals with the study of the following class of variational inequalities: find \(x_0\in K\) such that \(\langle f(x_0),x-x_0\rangle\geq 0\), for all \(x\in K\).
openaire   +2 more sources

A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities

Mathematics
This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman, Kanokwan Sitthithakerngkiet, Thidaporn Seangwattana   +2 more
doaj   +1 more source

Stability of the modified projected dynamical systems

, 2002
In this paper, we propose and analyse a modified projection-type dynamical system associated with variational inequalities by using the technique of updating the solution.
M.A. Noor, Noor, M.A.
core   +1 more source

Enhanced Projection Method for the Solution of the System of Nonlinear Equations Under a More General Assumption than Pseudo-Monotonicity and Lipschitz Continuity

Mathematics
In this manuscript, we propose an efficient algorithm for solving a class of nonlinear operator equations. The algorithm is an improved version of previously established method. The algorithm’s features are as follows: (i) the search direction is bounded
Kanikar Muangchoo, Auwal Bala Abubakar
doaj   +1 more source

On the transpose of a pseudomonotone matrix and the LCP

Linear Algebra and its Applications, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Stability analysis of neurodynamic approaches for solving strongly pseudomonotone mixed equilibrium problems and applications

Journal of Inequalities and Applications
In this paper, we propose a class of proximal neurodynamic models (PNDMs) for solving mixed equilibrium problems (MEPs) in Hilbert spaces. Unlike existing approaches focused on variational inequalities and standard equilibrium problems, the proposed ...
Qian Wen, Vajahat Karim Khan, Qing-Bo Cai, Md. Kalimuddin Ahmad   +3 more
doaj   +1 more source