An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications
Sign Up to like & getrecommendations! 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
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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
Existence results for vector variational inequality problems on Hadamard manifolds
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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
Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds
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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
Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
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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
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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
On a Viscosity Iterative Method for Solving Variational Inequality Problems in Hadamard Spaces
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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
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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
The Convergence Results of Differential Variational Inequality Problems
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DOI: 10.3390/sym14040760
Abstract: In this work, we suggest a differential variational inequality in reflexive Banach spaces and construct a sequence with a set of constraints and a penalty parameter. We use the penalty method to prove a unique… read more here.
Keywords: results differential; differential variational; convergence results; variational inequality ... See more keywords