LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "inequality problems" as a keyword



Golden ratio method for solving monotone variational inequality problems in Hadamard spaces

Sign Up to like & get
recommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10112

Abstract: In this article, a generalized variational inequality problem in the setting of Hadamard spaces is introduced and analyzed. For approximating a solution of the problem when the underlined mapping is monotone, an adaptive algorithm that… read more here.

Keywords: inequality; variational inequality; inequality problems; monotone variational ... See more keywords

Double inertial extragradient algorithms for solving variational inequality problems with convergence analysis

Sign Up to like & get
recommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10147

Abstract: In this paper, we introduce a novel dual inertial Tseng's extragradient method for solving variational inequality problems in real Hilbert spaces, particularly those involving pseudomonotone and Lipschitz continuous operators. Our secondary method incorporates variable step‐size,… read more here.

Keywords: variational inequality; extragradient; inequality problems; solving variational ... See more keywords

An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

Sign Up to like & get
recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7641

Abstract: In this work, a new algorithm is suggested to solve the variational inequality problems for Lipschitz continuous and monotone operators and the fixed point problems for quasi‐nonexpansive operators. This algorithm is constructed based on the… read more here.

Keywords: quasi nonexpansive; inertial subgradient; nonexpansive operators; variational inequality ... See more keywords

Modified subgradient extragradient method for variational inequality problems

Sign Up to like & get
recommendations! Published in 2017 at "Numerical Algorithms"

DOI: 10.1007/s11075-017-0452-4

Abstract: In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard… read more here.

Keywords: extragradient method; method; subgradient extragradient; inequality problems ... See more keywords
Photo from archive.org

Existence results for vector variational inequality problems on Hadamard manifolds

Sign Up to like & get
recommendations! Published in 2020 at "Optimization Letters"

DOI: 10.1007/s11590-020-01562-7

Abstract: In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C -pseudomonotone, v -hemicontinuous and v -coercive operators are given. Some existence results for VVIP are obtained… read more here.

Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality ... See more keywords
Photo from academic.microsoft.com

Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds

Sign Up to like & get
recommendations! Published in 2020 at "Optimization"

DOI: 10.1080/02331934.2020.1718126

Abstract: ABSTRACT In this paper, we introduce and study a class of mixed quasi-hemivariational inequality problems on Hadamard manifolds (in short, (MQHIP)). Some regularized gap functions for (MQHIP) are proposed under suitable conditions. Finally, global error… read more here.

Keywords: quasi hemivariational; mixed quasi; problems hadamard; hemivariational inequality ... See more keywords

Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

Sign Up to like & get
recommendations! Published in 2024 at "Journal of Mathematics"

DOI: 10.1155/2024/7793048

Abstract: In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed… read more here.

Keywords: subgradient extragradient; finite lipschitzian; lipschitzian demicontractions; variational inequality ... See more keywords

Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems

Sign Up to like & get
recommendations! Published in 2017 at "Georgian Mathematical Journal"

DOI: 10.1515/gmj-2017-0027

Abstract: Abstract The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of… read more here.

Keywords: like inequality; variational like; inequality problems; mixed variational ... See more keywords

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

Sign Up to like & get
recommendations! Published in 2023 at "Open Mathematics"

DOI: 10.1515/math-2022-0571

Abstract: Abstract In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the… read more here.

Keywords: inertial extragradient; extragradient method; class; self adaptive ... See more keywords
Photo by vika_strawberrika from unsplash

On a Viscosity Iterative Method for Solving Variational Inequality Problems in Hadamard Spaces

Sign Up to like & get
recommendations! Published in 2020 at "Axioms"

DOI: 10.3390/axioms9040143

Abstract: In this paper, we propose and study an iterative algorithm that comprises of a finite family of inverse strongly monotone mappings and a finite family of Lipschitz demicontractive mappings in an Hadamard space. We establish… read more here.

Keywords: iterative method; viscosity iterative; inequality problems; finite family ... See more keywords

Weighted Method for Uncertain Nonlinear Variational Inequality Problems

Sign Up to like & get
recommendations! Published in 2019 at "Mathematics"

DOI: 10.3390/math7100974

Abstract: A convex combined expectations regularized gap function with uncertain variable is presented to deal with uncertain nonlinear variational inequality problems (UNVIP). The UNVIP is transformed into a minimization problem through an uncertain weighted expected residual… read more here.

Keywords: nonlinear variational; uncertain nonlinear; method; inequality problems ... See more keywords