2018, 1, Monographs and research notes in mathematics, ISBN 1498761593, Volume 1, xv, 311 pages

.... A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints...

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Book

2013, Mathematical surveys and monographs, ISBN 0821891529, Volume 187, xxiv, 299

Book

SIAM journal on optimization, ISSN 1095-7189, 01/2015, Volume 25, Issue 1, pp. 502 - 520

This paper is concerned with some new projection methods for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space...

Projection method | Extragradient method | Monotone mapping | Variational inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algorithms | Inequalities | Projection | Constants | Mathematical models | Mapping | Iterative methods | Convergence | Mathematics - Optimization and Control

Projection method | Extragradient method | Monotone mapping | Variational inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algorithms | Inequalities | Projection | Constants | Mathematical models | Mapping | Iterative methods | Convergence | Mathematics - Optimization and Control

Journal Article

Computer methods in applied mechanics and engineering, ISSN 0045-7825, 08/2019, Volume 352, pp. 137 - 171

... boundary. For a large class of parabolic variational inequalities associated to the fractional Laplacian we obtain a priori and a posteriori error estimates and study the resulting space...

A posteriori error estimates | Dynamic contact | A priori error estimates | Fractional Laplacian | Space–time adaptivity | Variational inequality | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Finite element method | Formulations | Lagrange multiplier | Error analysis | Contact force | Lagrange multipliers | Mathematical analysis | Inequalities | Two dimensional models | Grid refinement (mathematics) | Nonlinear programming

A posteriori error estimates | Dynamic contact | A priori error estimates | Fractional Laplacian | Space–time adaptivity | Variational inequality | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Finite element method | Formulations | Lagrange multiplier | Error analysis | Contact force | Lagrange multipliers | Mathematical analysis | Inequalities | Two dimensional models | Grid refinement (mathematics) | Nonlinear programming

Journal Article

Journal of global optimization, ISSN 1573-2916, 02/2017, Volume 70, Issue 3, pp. 687 - 704

In this article, we introduce an inertial projection and contraction algorithm by combining inertial type algorithms with the projection and contraction algorithm for solving a variational inequality...

49J35 | Extragradient algorithm | Inertial type algorithm | Variational inequality | 90C47 | Operations Research/Decision Theory | Projection and contraction algorithm | Mathematics | Computer Science, general | Optimization | Real Functions | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Signal processing | Medical colleges | Algorithms | Resveratrol | Projection | Fixed points (mathematics) | Hilbert space | Portfolio management

49J35 | Extragradient algorithm | Inertial type algorithm | Variational inequality | 90C47 | Operations Research/Decision Theory | Projection and contraction algorithm | Mathematics | Computer Science, general | Optimization | Real Functions | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Signal processing | Medical colleges | Algorithms | Resveratrol | Projection | Fixed points (mathematics) | Hilbert space | Portfolio management

Journal Article

Mathematical programming, ISSN 1436-4646, 03/2016, Volume 165, Issue 1, pp. 331 - 360

Variational inequality modeling, analysis and computations are important for many applications, but much of the subject has been developed in a deterministic setting with no uncertainty in a problem’s data...

65K15 | Theoretical, Mathematical and Computational Physics | Nonanticipativity | Price of information | Stochastic variational inequalities | Mathematics | Stochastic decomposition | 90C15 | Dualization | Mathematical Methods in Physics | Response rules | Multistage stochastic optimization | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Multistage stochastic equilibrium | 49M27 | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Decision-making | Analysis | Multistage | Equilibrium | Optimization | Inequalities | Mathematical programming

65K15 | Theoretical, Mathematical and Computational Physics | Nonanticipativity | Price of information | Stochastic variational inequalities | Mathematics | Stochastic decomposition | 90C15 | Dualization | Mathematical Methods in Physics | Response rules | Multistage stochastic optimization | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Multistage stochastic equilibrium | 49M27 | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Decision-making | Analysis | Multistage | Equilibrium | Optimization | Inequalities | Mathematical programming

Journal Article

2002, Optimization theory and applications, ISBN 0415274796, Volume 2, xvi, 313

Book

Numerical algorithms, ISSN 1572-9265, 08/2011, Volume 59, Issue 2, pp. 301 - 323

We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a...

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Censorship | Equality

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Censorship | Equality

Journal Article

Numerical algorithms, ISSN 1017-1398, 9/2017, Volume 76, Issue 1, pp. 259 - 282

Our aim in this paper is to study strong convergence results for L-Lipschitz continuous monotone variational inequality but L is unknown using a combination of subgradient extra-gradient method...

Strong convergence | Numeric Computing | Hilbert spaces | Theory of Computation | Subgradient extragradient method | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | 47H09 | 47J05 | 47J25 | 47H06 | Variational inequalities | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Strong convergence | Numeric Computing | Hilbert spaces | Theory of Computation | Subgradient extragradient method | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | 47H09 | 47J05 | 47J25 | 47H06 | Variational inequalities | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2017, Vector Optimization, ISBN 3319630482, 517

This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems.

Variational inequalities (Mathematics) | Vector spaces | Continuous Optimization | Operations Research, Management Science | Business and Management | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory

Variational inequalities (Mathematics) | Vector spaces | Continuous Optimization | Operations Research, Management Science | Business and Management | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory

eBook

Revista matemática iberoamericana, ISSN 0213-2230, 2013, Volume 29, Issue 3, pp. 1091 - 1126

The purpose of this paper is to derive some Lewy-Stampacchia estimates in some cases of interest, such as the ones driven by non-local operators. Since we will...

Integrodifferential operators | Fractional laplacian | Variational inequalities | Physical Sciences | Mathematics | Science & Technology

Integrodifferential operators | Fractional laplacian | Variational inequalities | Physical Sciences | Mathematics | Science & Technology

Journal Article

SIAM journal on numerical analysis, ISSN 0036-1429, 1/2014, Volume 52, Issue 5, pp. 2250 - 2271

We consider variational inequalities with different trial and test spaces and a possibly noncoercive bilinear form...

Approximation | A posteriori knowledge | Spacetime | Inner products | Coercivity | Uniqueness | Integration by parts | Error bounds | Hilbert spaces | Variational inequalities | Parabolic problems | Error estimates | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Approximation | A posteriori knowledge | Spacetime | Inner products | Coercivity | Uniqueness | Integration by parts | Error bounds | Hilbert spaces | Variational inequalities | Parabolic problems | Error estimates | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Applied mathematics & information sciences, ISSN 1935-0090, 2016, Volume 10, Issue 5, pp. 1811 - 1814

Journal Article

Set-valued and variational analysis, ISSN 1877-0541, 09/2011, Volume 20, Issue 2, pp. 229 - 247

We study the new variational inequality problem, called the Common Solutions to Variational Inequalities Problem (CSVIP...

Geometry | Maximal monotone mapping | 47J20 | Variational inequality | Analysis | 49J40 | Mathematics | Hilbert space | 47H05 | Iterative procedure | Nonexpansive mapping | 47H04 | Physical Sciences | Mathematics, Applied | Science & Technology | Censorship

Geometry | Maximal monotone mapping | 47J20 | Variational inequality | Analysis | 49J40 | Mathematics | Hilbert space | 47H05 | Iterative procedure | Nonexpansive mapping | 47H04 | Physical Sciences | Mathematics, Applied | Science & Technology | Censorship

Journal Article

2011, Applied mathematics, ISBN 9781611970708, xiii, 387

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 05/2017, Volume 449, Issue 2, pp. 1229 - 1247

We consider a class of parabolic variational inequalities with time dependent obstacle of the form |u(x,t)|≤p(x...

Hydrodynamics | Navier–Stokes | Variational inequality | Bounded variation | Subdifferential | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fluid dynamics | Analysis | Mathematics - Analysis of PDEs

Hydrodynamics | Navier–Stokes | Variational inequality | Bounded variation | Subdifferential | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fluid dynamics | Analysis | Mathematics - Analysis of PDEs

Journal Article

Optimization letters, ISSN 1862-4472, 10/2016, Volume 10, Issue 7, pp. 1519 - 1528

This paper is devoted to solve the following monotone variational inequality of finding
$$x^*\in \mathrm{Fix}(T)$$
x
∗
∈
Fix
(
T
)
such that
$$\begin{aligned...

Nonexpansive operator | Computational Intelligence | Variational inequality | Numerical and Computational Physics | Mathematics | Monotone operator | Implicit algorithm | Operation Research/Decision Theory | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms | Resveratrol

Nonexpansive operator | Computational Intelligence | Variational inequality | Numerical and Computational Physics | Mathematics | Monotone operator | Implicit algorithm | Operation Research/Decision Theory | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms | Resveratrol

Journal Article