Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 77, Issue 8, pp. 2182 - 2206

A Hamilton–Jacobi–Bellman Quasi-Variational Inequality (HJBQVI) for a river environmental restoration problem with wise-use of sediment is formulated and its mathematical properties are analyzed...

Finite difference scheme | Sediment | Hamilton–Jacobi–Bellman Quasi-Variational Inequality (HJBQVI) | Stochastic impulse control | Algae population control | POPULATION | MATHEMATICS, APPLIED | PENALTY METHOD | APPROXIMATION | EQUATIONS | STOCHASTIC-CONTROL MODEL | SCHEME | MINIMUM WITHDRAWAL BENEFIT | IMPULSE CONTROL | Hamilton-Jacobi-Bellman | Quasi-Variational Inequality (HJBQVI) | CONSUMPTION | AMERICAN OPTIONS | Usage | Analysis | Environmental aspects | Ecological restoration | Equality | Sediments (Geology) | Environmental engineering | Viscosity | Solvers | Restoration | Iterative methods | Portfolio management | Finite difference method

Finite difference scheme | Sediment | Hamilton–Jacobi–Bellman Quasi-Variational Inequality (HJBQVI) | Stochastic impulse control | Algae population control | POPULATION | MATHEMATICS, APPLIED | PENALTY METHOD | APPROXIMATION | EQUATIONS | STOCHASTIC-CONTROL MODEL | SCHEME | MINIMUM WITHDRAWAL BENEFIT | IMPULSE CONTROL | Hamilton-Jacobi-Bellman | Quasi-Variational Inequality (HJBQVI) | CONSUMPTION | AMERICAN OPTIONS | Usage | Analysis | Environmental aspects | Ecological restoration | Equality | Sediments (Geology) | Environmental engineering | Viscosity | Solvers | Restoration | Iterative methods | Portfolio management | Finite difference method

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 2/2018, Volume 70, Issue 2, pp. 401 - 411

In this short note, our aim is to investigate the inverse problem of parameter identification in quasi-variational inequalities...

35R30 | Mathematics | Optimization | Quasi-variational inequalities | Output least-squares | Inverse problems | Operations Research/Decision Theory | 65J22 | 65M30 | 65J20 | Computer Science, general | Regularization | 49N45 | Real Functions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ILL-POSED PROBLEMS | FRAMEWORK | EXISTENCE THEOREMS | LEAST-SQUARES | CONVERGENCE-RATES | Parameters | Inequalities | Parameter identification | Mathematical programming | Convergence

35R30 | Mathematics | Optimization | Quasi-variational inequalities | Output least-squares | Inverse problems | Operations Research/Decision Theory | 65J22 | 65M30 | 65J20 | Computer Science, general | Regularization | 49N45 | Real Functions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ILL-POSED PROBLEMS | FRAMEWORK | EXISTENCE THEOREMS | LEAST-SQUARES | CONVERGENCE-RATES | Parameters | Inequalities | Parameter identification | Mathematical programming | Convergence

Journal Article

Georgian Mathematical Journal, ISSN 1072-947X, 09/2015, Volume 22, Issue 3, pp. 385 - 392

In this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of a split variational inequality problem, quasivariational and variational inequality...

split general variational inequality problem | 47J53 | convergence analysis | 90C25 | split quasi-variational inequality problem | Split general quasi-variational inequality problem | 65K10 | 49M37 | iterative algorithms | MATHEMATICS | POINT PROBLEM | INCLUSIONS

split general variational inequality problem | 47J53 | convergence analysis | 90C25 | split quasi-variational inequality problem | Split general quasi-variational inequality problem | 65K10 | 49M37 | iterative algorithms | MATHEMATICS | POINT PROBLEM | INCLUSIONS

Journal Article

SIAM JOURNAL ON OPTIMIZATION, ISSN 1052-6234, 2019, Volume 29, Issue 2, pp. 1558 - 1577

Quasi-variational inequalities are variational inequalities in which the constraint map depends on the current point...

EXISTENCE | net-lower sign-continuity | MATHEMATICS, APPLIED | product sets | fixed points | CONVEX | quasi-monotone operator | quasi-variational inequality | stability | Mathematics | Engineering Sciences | Chemical engineering | Chemical and Process Engineering | Chemical Sciences

EXISTENCE | net-lower sign-continuity | MATHEMATICS, APPLIED | product sets | fixed points | CONVEX | quasi-monotone operator | quasi-variational inequality | stability | Mathematics | Engineering Sciences | Chemical engineering | Chemical and Process Engineering | Chemical Sciences

Journal Article

Mathematical Programming, ISSN 0025-5610, 9/2017, Volume 165, Issue 1, pp. 433 - 470

We consider a parametric stochastic quasi-variational inequality problem (SQVIP for short) where the underlying normal cone is defined over the solution set of a parametric stochastic cone system...

Theoretical, Mathematical and Computational Physics | Stochastic quasi-variational inequality | Mathematics | 90C15 | Quantitative stability analysis | Mathematical program with SQVIP constraints | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C33 | Combinatorics | Mathematical program with stochastic semidefinite constraints | MATHEMATICS, APPLIED | NASH GAMES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUATIONS | SENSITIVITY-ANALYSIS | MATHEMATICAL PROGRAMS | OPTIMIZATION | ERROR-BOUNDS | Equality | Inventory management | Stability analysis | Mathematical analysis | Probability theory | Continuity (mathematics)

Theoretical, Mathematical and Computational Physics | Stochastic quasi-variational inequality | Mathematics | 90C15 | Quantitative stability analysis | Mathematical program with SQVIP constraints | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C33 | Combinatorics | Mathematical program with stochastic semidefinite constraints | MATHEMATICS, APPLIED | NASH GAMES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUATIONS | SENSITIVITY-ANALYSIS | MATHEMATICAL PROGRAMS | OPTIMIZATION | ERROR-BOUNDS | Equality | Inventory management | Stability analysis | Mathematical analysis | Probability theory | Continuity (mathematics)

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 77, Issue 10, pp. 2596 - 2607

... Céa’s type inequality is derived for error estimate. For a viscoelastic contact problem with normal penetration, an optimal order error estimate is obtained for the linear element method...

Finite element method | Hemivariational inequality | Numerical analysis | History-dependent | Optimal order error estimate | MATHEMATICS, APPLIED | QUASI-VARIATIONAL INEQUALITIES | Viscoelasticity | Penetration | Numerical prediction | Inequalities

Finite element method | Hemivariational inequality | Numerical analysis | History-dependent | Optimal order error estimate | MATHEMATICS, APPLIED | QUASI-VARIATIONAL INEQUALITIES | Viscoelasticity | Penetration | Numerical prediction | Inequalities

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 17

In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities...

Hemicontinuity | Analysis | Metric characterization | Split hemivariational inequality | Mathematics, general | Mathematics | Monotone operator | Applications of Mathematics | QUASI-VARIATIONAL-INEQUALITIES | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | FEASIBILITY PROBLEM | INCLUSION PROBLEMS | Well posed problems | Inequalities | Research

Hemicontinuity | Analysis | Metric characterization | Split hemivariational inequality | Mathematics, general | Mathematics | Monotone operator | Applications of Mathematics | QUASI-VARIATIONAL-INEQUALITIES | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | FEASIBILITY PROBLEM | INCLUSION PROBLEMS | Well posed problems | Inequalities | Research

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 5/2013, Volume 157, Issue 2, pp. 347 - 364

This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric mixed generalized Ky Fan inequality problem...

Strict monotonicity | Ky Fan inequality problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Set-valued map | Semicontinuity | Optimization | Nonlinear scalarization function | EXISTENCE | QUASI-VARIATIONAL INCLUSIONS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SOLUTION SETS | VECTOR | Analysis | Equality | Studies | Mapping | Equilibrium | Stability | Mathematical analysis | Inequalities | Nonlinearity | Stability analysis | Vectors (mathematics)

Strict monotonicity | Ky Fan inequality problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Set-valued map | Semicontinuity | Optimization | Nonlinear scalarization function | EXISTENCE | QUASI-VARIATIONAL INCLUSIONS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SOLUTION SETS | VECTOR | Analysis | Equality | Studies | Mapping | Equilibrium | Stability | Mathematical analysis | Inequalities | Nonlinearity | Stability analysis | Vectors (mathematics)

Journal Article

Computational Mathematics and Modeling, ISSN 1046-283X, 1/2017, Volume 28, Issue 1, pp. 89 - 108

This paper deals with the numerical analysis of the problem of parabolic quasi-variational inequalities related to impulse control problems. An optimal L...

Computational Mathematics and Numerical Analysis | impulse control problem | finite element methods | L ∞ -asymptotic behavior | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | Parabolic quasi-variational inequality | subsolutions method | Optimization | asymptotic behavior

Computational Mathematics and Numerical Analysis | impulse control problem | finite element methods | L ∞ -asymptotic behavior | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | Parabolic quasi-variational inequality | subsolutions method | Optimization | asymptotic behavior

Journal Article

Mathematical models & methods in applied sciences, ISSN 0218-2025, 05/2010, Volume 20, Issue 5, pp. 679 - 706

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity...

MATHEMATICS, APPLIED | mixed methods | convergence analysis | quasi-variational inequalities | Kim model | ELECTRIC-FIELD | Superconductivity | critical-state problems | LIMIT | CRITICAL-STATE MODEL | finite elements, existence

MATHEMATICS, APPLIED | mixed methods | convergence analysis | quasi-variational inequalities | Kim model | ELECTRIC-FIELD | Superconductivity | critical-state problems | LIMIT | CRITICAL-STATE MODEL | finite elements, existence

Journal Article

Optimization Letters, ISSN 1862-4472, 8/2018, Volume 12, Issue 6, pp. 1357 - 1371

This paper studies an optimal control problem where the state of the system is defined by a mixed quasi-variational inequality...

Mixed quasi-variational inequality | Nonlinear Lagrangian function | Computational Intelligence | Operations Research/Decision Theory | Optimal control | Mathematics | Numerical and Computational Physics, Simulation | Optimization | Zero duality gap | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Analysis | Methods | Equality

Mixed quasi-variational inequality | Nonlinear Lagrangian function | Computational Intelligence | Operations Research/Decision Theory | Optimal control | Mathematics | Numerical and Computational Physics, Simulation | Optimization | Zero duality gap | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Analysis | Methods | Equality

Journal Article

Set-valued and variational analysis, ISSN 1877-0541, 2018, Volume 27, Issue 4, pp. 949 - 970

This paper is devoted to a generalized evolution system called fractional partial differential variational inequality which consists of a mixed quasi-variational inequality combined with a fractional...

26A33 | Mathematics | Optimization | ϕ -pseudomonotonicity | Bohnenblust-Karlin fixed point principle | 35J88 | 34A08 | 47J20 | Mixed quasi-variational inequalities | Analysis | Caputo derivative | 49J40 | Knaster-Kuratowski-Mazurkiewicz theorem | Fractional partial differential variational inequalities

26A33 | Mathematics | Optimization | ϕ -pseudomonotonicity | Bohnenblust-Karlin fixed point principle | 35J88 | 34A08 | 47J20 | Mixed quasi-variational inequalities | Analysis | Caputo derivative | 49J40 | Knaster-Kuratowski-Mazurkiewicz theorem | Fractional partial differential variational inequalities

Journal Article

European journal of applied mathematics, ISSN 0956-7925, 10/2011, Volume 22, Issue 5, pp. 471 - 491

We consider a class of quasi-variational inequalities arising in a large number of mathematical models, which describe quasi-static processes of contact between a deformable body and an obstacle...

Papers | Contact problems | Regularity | Existence and uniqueness | Quasi-variational inequalities | MATHEMATICS, APPLIED | Mechanics | Mathematical models | Foundations | Law | Inequalities | Uniqueness | Contact | Dry friction

Papers | Contact problems | Regularity | Existence and uniqueness | Quasi-variational inequalities | MATHEMATICS, APPLIED | Mechanics | Mathematical models | Foundations | Law | Inequalities | Uniqueness | Contact | Dry friction

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 12/2014, Volume 60, Issue 4, pp. 679 - 688

In this paper we consider a class of generalized quasi-variational inequalities. The variational problem is studied in the convex set $$X\times Y$$ X × Y , with $$Y$$ Y bounded and $$X$$ X unbounded...

58E35 | Generalized quasi-variational inequalities | Operations Research/Decision Theory | 49J40 | 90C33 | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Economic equilibrium problem | MATHEMATICS, APPLIED | EQUILIBRIUM PROBLEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FORMULATION | Computer science | Analysis | Magnetic properties | Studies | Hypotheses | Market equilibrium | Inequality | Economics | Perturbation theory | Operators | Coercive force | Inequalities | Coercivity | Texts

58E35 | Generalized quasi-variational inequalities | Operations Research/Decision Theory | 49J40 | 90C33 | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Economic equilibrium problem | MATHEMATICS, APPLIED | EQUILIBRIUM PROBLEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FORMULATION | Computer science | Analysis | Magnetic properties | Studies | Hypotheses | Market equilibrium | Inequality | Economics | Perturbation theory | Operators | Coercive force | Inequalities | Coercivity | Texts

Journal Article

Inverse problems, ISSN 1361-6420, 2019, Volume 35, Issue 3, p. 035004

The primary objective of this research is to investigate an inverse problem of parameter identification in nonlinear mixed quasi-variational inequalities posed in a Banach space setting...

nonlinear quasi-variational inequality | obstacle problem | p -Laplacian | inverse problems | regularization | EXISTENCE | MATHEMATICS, APPLIED | p-Laplacian | HEMIVARIATIONAL INEQUALITIES | IDENTIFICATION | PHYSICS, MATHEMATICAL | VALUED EQUILIBRIUM PROBLEMS

nonlinear quasi-variational inequality | obstacle problem | p -Laplacian | inverse problems | regularization | EXISTENCE | MATHEMATICS, APPLIED | p-Laplacian | HEMIVARIATIONAL INEQUALITIES | IDENTIFICATION | PHYSICS, MATHEMATICAL | VALUED EQUILIBRIUM PROBLEMS

Journal Article

Boletín de la Sociedad Matemática Mexicana, ISSN 1405-213X, 10/2018, Volume 24, Issue 2, pp. 439 - 461

The main propose of this paper is to provide an error estimate on uniform norm of the parabolic quasi-variational inequalities system related to management of energy production problems, using semi...

49 J 40 | Mathematics, general | Parabolic quasi-variational inequalities | Subsolutions method | L^{\infty }$$ L ∞ -Asymptotic Behavior | 35 R 35 | Mathematics | Finite element methods

49 J 40 | Mathematics, general | Parabolic quasi-variational inequalities | Subsolutions method | L^{\infty }$$ L ∞ -Asymptotic Behavior | 35 R 35 | Mathematics | Finite element methods

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2012, Volume 2012, Issue 1, pp. 1 - 15

In this article, we consider a class of parametric generalized vector quasi-variational-like inequality problem (for short, (PGVQVLIP...

KKM mapping | gap function | Analysis | parametric generalized vector quasi-variational-like inequality | Mathematics, general | Mathematics | Applications of Mathematics | upper semicontinuity | Hausdorff continuity | Upper semicontinuity | Gap function | Parametric generalized vector quasi-variational-like inequality | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | LOWER SEMICONTINUITY | GAP FUNCTIONS

KKM mapping | gap function | Analysis | parametric generalized vector quasi-variational-like inequality | Mathematics, general | Mathematics | Applications of Mathematics | upper semicontinuity | Hausdorff continuity | Upper semicontinuity | Gap function | Parametric generalized vector quasi-variational-like inequality | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | LOWER SEMICONTINUITY | GAP FUNCTIONS

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 8/2012, Volume 53, Issue 4, pp. 737 - 748

The paper aims to obtain new local/global error bounds for quasi variational inequality problems in terms of the regularized gap function and the D-gap function...

Operations Research/Decision Theory | Error bounds | D-gap function | Computer Science, general | Optimization | Quasi variational inequality problem | Regularized gap function | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies

Operations Research/Decision Theory | Error bounds | D-gap function | Computer Science, general | Optimization | Quasi variational inequality problem | Regularized gap function | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies

Journal Article

19.
Full Text
An existence result of a quasi-variational inequality associated to an equilibrium problem

Journal of Global Optimization, ISSN 0925-5001, 3/2008, Volume 40, Issue 1, pp. 87 - 97

In this paper we consider a Walrasian pure exchange economy with utility function which is a particular case of a general economic equilibrium problem, without production...

Mosco’s convergence | Variational and quasi-variational inequality | Operations Research/Decision Theory | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Competitive equilibrium | Mosco's convergence | MATHEMATICS, APPLIED | ECONOMIC EQUILIBRIUM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | competitive equilibrium | variational and quasi-variational inequality | Equality | Studies | Operations research | Mathematics | Equilibrium | Inequality

Mosco’s convergence | Variational and quasi-variational inequality | Operations Research/Decision Theory | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Competitive equilibrium | Mosco's convergence | MATHEMATICS, APPLIED | ECONOMIC EQUILIBRIUM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | competitive equilibrium | variational and quasi-variational inequality | Equality | Studies | Operations research | Mathematics | Equilibrium | Inequality

Journal Article

The Annals of probability, ISSN 0091-1798, 3/2010, Volume 38, Issue 2, pp. 794 - 840

.... Moreover, we show that under mild conditions the minimal solutions to these constrained BSDEs can be characterized as the unique viscosity solution of quasi-variational inequalities (QVIs...

Viscosity | Brownian motion | Lipschitz condition | Approximation | Infinity | Uniqueness | Differential equations | Control theory | Stopping distances | Perceptron convergence procedure | Backward stochastic differential equation | Penalization | Jump-diffusion process | Impulse control problems | Jump constraints | Quasi-variational inequalities | Viscosity solutions | jump-diffusion process | STOCHASTIC DIFFERENTIAL-EQUATIONS | quasi-variational inequalities | impulse control problems | penalization | CONTINGENT CLAIMS | STATISTICS & PROBABILITY | jump constraints | viscosity solutions | Mathematics - Probability | Probability | Mathematics | 35K85 | 60H10 | 60H30

Viscosity | Brownian motion | Lipschitz condition | Approximation | Infinity | Uniqueness | Differential equations | Control theory | Stopping distances | Perceptron convergence procedure | Backward stochastic differential equation | Penalization | Jump-diffusion process | Impulse control problems | Jump constraints | Quasi-variational inequalities | Viscosity solutions | jump-diffusion process | STOCHASTIC DIFFERENTIAL-EQUATIONS | quasi-variational inequalities | impulse control problems | penalization | CONTINGENT CLAIMS | STATISTICS & PROBABILITY | jump constraints | viscosity solutions | Mathematics - Probability | Probability | Mathematics | 35K85 | 60H10 | 60H30

Journal Article

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